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How do i find the height of a triangle?
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How do i find the height of a triangle?
The formula for the area of a parallelogram is base × … Welcome to How to Find the Area of a Triangle with Mr. The meaning of a symbol with three dots arranged in a triangle can have different meanings based on context; for example, in mathematical proofs, a triangle made of three dots can. On this page, you can solve math problems involving right triangles. Depending on the information we have available, we can use two different formulas to find the height of a scalene triangle. Method One: Using Two Legs. The area of a triangle is defined as the total surface enclosed by the triangle’s boundaries. How to Calculate the Height of a Triangle. ; It is asking the user to enter the base size of the triangle and stores it in baseSizeReadLine reads the user input as a string. The "base" refers to any side of the triangle where the height is represented by the length of the line segment drawn from the vertex opposite the base, to a point on the base that forms a perpendicular. Our online tools will provide quick answers to your calculation and conversion needs. Example: If area of triangle is 50 square units and base is 10 units, then find its. Be prepared to explain how you know the area of your triangle is 12 square units. One method involves the use of Heron's formula for. Thus, we have seen how to. How to find the height of a triangle, given its area and the measure of its base. This means if the side length of the equilateral triangle is known, we can easily … There are two basic methods we can use to find the height of a triangle. Jul 30, 2024 · Whether you have three sides of a triangle given, two sides and an angle or just two angles, this tool is a solution to your geometry problems. Alternatively, the Sierpinski triangle. The three components of the fire triangle are fuel, oxygen and heat. Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site The hypotenuse is the side of the triangle opposite the right angle. Therefore, in order to calculate the height of an isosceles triangle, we can multiply the area of the triangle by 2 and divide the product by the base of the triangle to find the required height. Online Triangle Height Calculator helps you to calculate the height of a triangle in a few seconds. While the formula shows the letters b and h, it is actually the pattern of the formula that is important. Replace the variables in the theorem with the values of the known sides Square the measures, and subtract 1,089 from each side. The height of a triangle can be outside the triangle. When we know the lengths of all the sides of the triangle, we can calculate the height using a formula that is derived from Heron’s formula, which is used to. Once you have the triangle's height and base, plug them into the formula: area = 1/2(bh), where "b" is the base and "h" is the height. That means the base and the height form a. Jul 30, 2024 · Whether you have three sides of a triangle given, two sides and an angle or just two angles, this tool is a solution to your geometry problems. From this relationship, a set of trigonometric functions emerges to describe the geomet. Any side can be the base of the triangle, and the height, or altitude, is the perpendicular length from the base to its opposing vertex. Using the Pythagorean Theorem, we can find that the base, legs, and height of an isosceles triangle have the following relationships: Law of cosines How do we find the height of a triangle given the 3 side lengths? We can handle this problem in many ways. Usually, what you need to calculate are the triangular prism volume and its surface area. Find the Height of a Triangle. The height of a triangle is the distance from the base to the highest point, and in a right triangle that will be found by the side adjoining the base at a right angle. Try to draw a non-right triangle. area = length * (a + b + c) + (2 * base_area), where a, b, c are sides of the triangle and base_area is the … To find the area, you need to know the length of the triangle’s base and the height of the triangle. Multiply the result by the length of the remaining side to get the length of the altitude. Removal of one or more of these elemen. If you know the length of the base (b) and the area (A) of the triangle, you can easily calculate its height using this formula: Height = (2 * Area. Step 3 : Since the triangles ABE and ADE are similar triangles, corresponding side lengths are proportional DE / BE = CD / AB. The height in the parallelogram is the same height as in the triangle with the same sides, if you take the base to be the same. The formula to calculate the base of a triangle is: b = 2A / h. If you know the length of the two legs in a right triangle, then you can find the area using the formula: A = 1 / 2 a × b. To calculate the height of a triangle, it is important to identify the type of the three-sided polygon in question. Using the Pythagorean Theorem, we can find that the base, legs, and height of an isosceles triangle have the following relationships: Law of cosines How do we find the height of a triangle given the 3 side lengths? We can handle this problem in many ways. It is also known as the hypotenuse. Measure the length of the base of the triangle (Base). However, the basic formula that is used to find the area of a triangle is: Area of triangle = 1/2 × base × height. So if the base is , then and vise versa. Answer: Slant height, s = 10 m Mar 27, 2022 · For each triangle, identify and label a base and height. Measure the length of the base of the triangle (Base). If it is a regular tetrahedron, then it contains four equilateral triangles as its faces Although, in general, triangles do not have special names for their sides, in right triangles, the sides are called the hypotenuse, the opposite side and the adjacent side If you’re an avid kite flyer or enjoy spending time outdoors, a Triangle SC125 Line Winder is an essential tool to have in your arsenal. There are many ways to find the side length of a right triangle. Note: How to Find the Height of a Right Triangle Formula? The height of a right triangle can be calculated, given the length of base and height of a right triangle formula can be calculated using the Pythagoras theorem as, (Hypotenuse) 2 = (Height) 2 + (Base) 2. For right triangles only, enter any two values to find the third. The special right triangle gives side ratios of , , and. Our online tools will provide quick answers to your calculation and conversion needs. For right-angled pyramids, the slant height is the shortest distance measured from the apex to the boundary points located at the base. From the illustrations above, we can make the following observations: The height of a triangle depends on its base. A triangle is one of the most basic shapes in geometry. See Example \(\PageIndex{5}\). There are many trigonometric applications. To find the midpoint, measure the side, and divide the length in half. Their distinct shape adds a touch of architectural interest, while also providing practical benefits An isosceles triangle could have rotational symmetry if it were also an equilateral triangle. Without all three components, a fire can neither begin nor be sustained. I bet this question has been asked a million times, but I can't find a straight answer. The sides AC and BC are perpendicular to each other (the angle at C is a right angle), so you can state the values for the base and the perpendicular height of the triangle to be: The base: b=3 Depending on the information we have available, we can use two different formulas to find the height of a scalene triangle. The formula for area of a right triangle is: The calculator will try to find all sides and angles of the triangle (right triangle, obtuse, acute, isosceles, equilateral), as well as its perimeter and area Area Calculation: The area $$$ A $$$ of a triangle with the side $$$ b $$$ and the height $$$ h $$$ dropped to this side can be found using the following formula: $$ A=\frac{1}{2}bh $$ The height of a triangle, sometimes referred to as the altitude, is the perpendicular distance from the base of the triangle (any chosen side) to the opposite vertex. This calculator also finds the area A of the right triangle with sides a and b. How to find the centroid. A triangle can have only one right angle. All that matters is that the base and the height must be perpendicular. Draw a line segment from the midpoint that you just created to the opposite angle of the triangle. Scroll down to read more about valuable formulas (such as the one used to calculate the height of an equilateral triangle) and learn what an equilateral triangle is. Step 1: Prepare … Triangle Height Calculator outputs the height, just type the area, base and hit enter!. Assume its length is 11 inches. The area formula can be written as 1 / 2 × base × height. This calculator also finds the area A of the right triangle with sides a and b. Input base of the triangle. Now let’s use the formula to find the base of a triangle when the area and height are given. Calculate area = 1/2*base*height 4. In other words, it is the altitude of the triangle comprising a lateral face (Kern and Bland 1948, p The slant height l of a right circular cone is the distance from the apex to a point on the base (Kern and Bland 1948, p. How to Find the Base of a Triangle Given the Area and the HeightIf you enjoyed this video please consider liking, sharing, and subscribing The leg b is sometimes called the base of the right triangle, and the leg a is the right triangle's height. Find the height of the right triangle Find the area of a right triangle whose base and perpendicular are 10 feet each. The perimeter of a triangle is the total distance around its three outer sides. exercise bikes for seniors perimeter_SSS = 9 cm We will use Heron’s formula to find the area of a triangle without the height. 16 is height squared. Our online calculator will help you find the perimeter of a triangle with solutions, formulas and definitions. To find the height we divide the triangle into two special 30 - 60 - 90 right triangles by drawing a line from one corner to the center of the opposite side. Measure the length of the base of the triangle (Base). If two sides are perpendicular, the angle they form is a right angle. Heron's formula is used to find the area of a triangle when the length of the 3 sides of the triangle is known. The volume of any prism is obtained by multiplying its base area by its length The volume of a prism = base area × length of the prism Please select this option if you know the length of a side a, b, or c of the triangle and the corresponding height. You can calculate the area of a triangle using several formulas. Example 1: Find the area of an acute triangle with a base of 13 inches and a height of 5 inches. 2 An isosceles triangle has two sides of the same length and two angles of the same measure. Method One: Using Two Legs. Heron's formula is useful when you do not know the height of the triangle or when the triangle is not a right triangle. J! Need help with calculating the area of a triangle? You're in the right place!Whether you're just st. The area of the base is found by multiplying le. The most popular ones are the equations: Given leg a and base b: area = (1/4) × b × √( 4 × a² - b² ) Given h height from apex and base b or h2 height from the other two vertices and leg a: area = 05 × h2 × a. In this article, we will learn everything related to the height of an equilateral triangle. top mens cologne If you know a a a or b b b, use the right triangle area formula that relates the base (b b b) to the height (a a a) and solve for the unknown side: Given a:. A triangle can never have any parallel lines because there must be three angles that add up to 180 degrees, which makes it impossible for the three sides to avoid intersecting In the world of mathematics, right triangles hold a special place due to their unique properties and applications. The base of the triangle is perpendicular to its height The working can be carried out in one of two ways. Step 3 : Since the triangles ABE and ADE are similar triangles, corresponding side lengths are proportional DE / BE = CD / AB. Let us solve some problems to understand the concept better. Choose one of the other sides to be a, and call the other side b (it doesn't matter which is which; the math will turn out the same). To learn how to calculate the area of a triangle using the lengths of each side, read the. ; Calculate a triangle’s area using base and height – Multiply the base of the triangle by its height, then cut that number in half (by dividing it by 2 or multiplying it by ½). While we know by courtesy of the angle sum property that the sum of interior angles is 180°, the length of sides can be anything. Download free on Amazon. The formula for base of a triangle can be derived from the standard formula of area of a triangle as shown below: As we know, Area (A) = ½ (b x h), here b = base, h = height => 2A = b x h => b = 2A/h. Learn the Pyramid Height Formulas and step-by-step process to calculate the height of a pyramid. If you know the length of the two legs in a right triangle, then you can find the area using the formula: A = 1 / 2 a × b. The answer is the height of your equilateral triangle! Oct 9, 2024 · Whether you are looking for the triangle height formulas for special triangles such as the right, equilateral or isosceles triangle or any scalene triangle, this calculator is a safe bet – it can calculate the heights of the triangle, as well as triangle sides, angles, perimeter, and area. Find the height of an equilateral triangle whose side measures 10 cm Triangles; Area of Triangle In a triangle which is not a right triangle (right image), then we need to find the perpendicular height of the triangle. For right triangles only, enter any two values to find the third. To use this formula, you need the measure of just one side of the triangle plus the altitude of the triangle (perpendicular to the base) drawn from that side. You can calculate the height, or altitude, or a triangle using a simple formula using the length of the base and the area h = 2 A / b. The perimeter of a triangle is the total distance around its three outer sides. When an upside-down triangle appeared in a recent ad for President Trump’s election campaign, it fanned the flames of controversy that frequently surround the polarizing President Three triangles can be drawn inside a regular pentagon. You can calculate the area of a triangle using several formulas. May 9, 2023 · We can also find the altitude of an equilateral triangle by using the Heron’s formula for finding area of a triangle: Area (A) = √s(s–a)(s–b)(s–c), here semiperimeter(s) = ½(a+b+c) In an equilateral triangle, all the three sides are equal, thus s = 3a/2. how to cook maize in microwave How To Find The Height of a Triangle. The height of an isosceles triangle is the perpendicular line segment drawn from base of the triangle to the opposing vertex. The shapes help survey. All the other values appear! Thanks to this 30 60 90 triangle calculator, you find out that: The shorter leg is 6. It should be included in the problem. Given any angle and leg or base Review the Results - Our calculator processes the inputs and displays all the triangle properties, such as; Triangle type, side lengths, angles, area, perimeter, semiperimeter, height, medians, inradius, and circumradius. Substitute the known values and solve for the height or perpendicular of the right triangle. The corner angles of a triangle cannot change without an accompanying change in the length of the edge A triangle can have two perpendicular sides. Substituting this in the formula = derived above, the area of the triangle can be expressed as: = = = (where α is the interior angle at A, β is the. It is also good to remember that the angle is always between the two known sides, called the "included angle" How Does it Work? We start with this formula: Area = ½ × base × height. Triangles are used in construction because they provide sturdy foundations to various infrastructures. Solution: Given, side of the equilateral triangle $= a = 5$ units. To calculate the height of a triangle, it is important to identify the type of the three-sided polygon in question. Therefore, in order to calculate the height of an isosceles triangle, we can multiply the area of the triangle by 2 and divide the product by the base of the triangle to find the required height. Show answer Hide answer. If we know side lengths and angles of the triangle, we can use … How do I find the height of a triangle? The height of a triangle can be found by using either the formula for the area of a triangle, the Pythagorean Theorem, or trigonometry. In this article, we will learn everything related to the height of an equilateral triangle.
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Input base of the triangle. For example, if the base is 8 and the height is 9, you would get ½ x 8 x 9 = 36. The height of a triangle is perpendicular to its base. There are three special names given to triangles that tell how many sides (or angles) are equal. One method involves the use of Heron's formula for. If the base changes, so does the height. Is it an equilateral triangle, an isosceles triangle or a right angle triangle as each of … There are various methods to find the height of a triangle based on different given things and types of triangles. In other words, it is the altitude of the triangle comprising a lateral face (Kern and Bland 1948, p The slant height l of a right circular cone is the distance from the apex to a point on the base (Kern and Bland 1948, p. Putting the value of ‘s’ in the standard formula h = 2A/b, we get, As we remember from basic triangle area formula, we can calculate the area by multiplying the triangle height and base and dividing the result by two. If is not the base, that makes either or the base. Draw the altitude of the hypotenuse on the triangle. Equilateral, Isosceles and Scalene. love and types of love To find the height we divide the triangle into two special 30 - 60 - 90 right triangles by drawing a line from one corner to the center of the opposite side. A scalene triangle is defin. Our online tools will provide quick answers to your calculation and conversion needs. In each right triangle, the height \( h \) is one of the legs, half of the base \( \frac{l}{2} \) is the other leg, and the side of the equilateral triangle \( l \) is the hypotenuse. A bot = bottom surface area = bottom triangle A triangular prism is a geometric solid shape with a triangle as its base. Since the area is 1/2 b x h, if you are given the area, you can solve for … Height of a Triangle. Since the area is 1/2 b x h, if you are given the area, you can solve for … Height of a Triangle. b/c = sin(60°) = √3/2 so b = c√3/2 = a√3. Two Methods for Finding Height. Observe the following figure to see the base and height of a triangle. The general area formula for triangles translates to oblique triangles by first finding the appropriate height value. Hence, the height of the triangle is 4cm. The area A of a right triangle is equal to one-half times leg a times leg b. The program allows user to enter tye values a,b and c through the keyboard using input ( ) command. selling used underpants Any side of the triangle can be a base. So, we are using float. The formula that is used to find the height of an equilateral triangle is, Height of equilateral triangle (h) = (a√3)/2; where 'a' is the side of the equilateral triangle. Multiple Ways to Calculate The Area of a. Particularly, the slant height connects the midpoint of the base to the pyramid's apex. In this example, we calculate the area of a right angled triangle whose base and height is given. The perimeter of a triangle is the distance covered around the triangle and is calculated by adding lengths of all three sides of a triangle. All the heights of an equilateral triangle are equal since the sides of the equilateral triangle are equal. See the solution with steps using the Pythagorean Theorem formula. If we have this information, we can use the following equation to determine the area: “A triangle that has all its sides equal in measurement and each angle measures up to 60 degrees is called an equilateral triangle. The 3 altitudes meet at a common point, called the orthocenter of the triangle; in ABC, point ‘O’ is the orthocenter ; Each altitude is the shortest distance from the vertex to its opposite side; for example, AE is the shortest … To find the height of a triangle using trigonometry, we need to know the length of one side and an angle. We will see the formulas to calculate the volumes of different types of triangular prisms. ) Figure \(\PageIndex{5}\) Are you ready for more? Find the area of this triangle. Show your reasoning. There are more methods to calculate the height of a triangle and they are; Using angles and sides. The number of lines of symmetry a triangle has depends on the type of triangle. The two most basic equations are: volume = 0. Use the formula to calculate the height of an equilateral triangle. (Hypotenuse) 2 = (Base) 2 + (Height) 2. (The Pythagorean Theorem or the area formula). ) Figure \(\PageIndex{5}\) Are you ready for more? Find the area of this triangle. Show your reasoning. The most popular ones are the equations: Given leg a and base b: area = (1/4) × b × √( 4 × a² - b² ) Given h height from apex and base b or h2 height from the other two vertices and leg a: area = 05 × h2 × a. church of latter day saints beliefs Example 1: The height and base of a square pyramid measure 8m and 12m respectively. One method involves the use of Heron's formula for. Hence, mathematically, base of a triangle can also be defined as twice the area divided by the height of the triangle. ) Figure \(\PageIndex{5}\) Are you ready for more? Find the area of this triangle. Show your reasoning. That is what we mean when we say convenient. Area of triangle (A) = ½ × Length of the base (b) × Height of the triangle (h) A = … C program to enter the base and height of a triangle and find its area. Spread the loveA triangle is one of the most fundamental shapes in geometry, consisting of three sides and three angles. 2 An isosceles triangle has two sides of the same length and two angles of the same measure. Solution: Given, side of the equilateral triangle $= a = 5$ units. Find the square root of b 2 to get the height of your triangle! Use the square root function on your calculator to find Sqrt( 2. Solved Examples On Height of Equilateral Triangle Find the height of an equilateral triangle if its side is 5 units. The perimeter of a triangle is the distance covered around the triangle and is calculated by adding lengths of all three sides of a triangle. Draw one triangle with an area of 12 square units. Scroll down to read more about valuable formulas (such as the one used to calculate the height of an equilateral triangle) and learn what an equilateral triangle is. A triangle has zero diagonals. You need to know the area and height to solve this equation. Draw a line segment from the midpoint that you just created to the opposite angle of the triangle. A triangle has only adjacent vertices When it comes to choosing a new refrigerator for your kitchen, there are many factors to consider. The triangle length calculator tells you the length of the third side if you enter two sides and an angle. Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have We will use Heron’s formula to find the area of a triangle without the height.
in this example we will have the following data Lesson. The rhetorical triangle is a theory of formal argumentation based on ideas first proposed by Aristotle. Keep in mind, though, the Law of Sines is not the easiest way to approach this problem. Once you know any two sides, you can easily calculate the third side. The base and … Continue reading "How to Find the Area of a Triangle" Find the height of the triangle. yellow jacket vs paper wasp If you know the length of the base (b) and the area (A) of the triangle, you can easily calculate its height using this formula: Height = (2 * Area. The formula to calculate the base of a triangle is: b = 2A / h. Using slant height formula, s 2 = (8) 2 + (12/2) 2 s = 10m. So, we are using float. include the … How To Find the Area of a Right Triangle. There are a few methods to find the area of a right triangle. can dog have ham As we know, Area of triangle = 1/2 × base × height. All the heights of an equilateral triangle are equal since the sides of the equilateral triangle are equal. To find the height of a triangle using trigonometry, we need to know the length of one side and an angle. A bot = bottom surface area = bottom triangle A triangular prism is a geometric solid shape with a triangle as its base. mkv playing The method for finding the area of a right triangle is quite simple. The area of a triangle is {eq}\frac{1}{2} b*h {/eq. The height of a triangle, sometimes referred to as the altitude, is the perpendicular distance from the base of the triangle (any chosen side) to the opposite vertex. Whether you are looking for the equilateral triangle area, its height, perimeter, circumradius, or inradius, this great tool is a safe bet. A scalene triangle is defin.
You can solve for it by using the Pythagorean theorem. If the equal sides have length a, and the base has length b, you can apply the same triangle area formula you might use for a right-angled triangle First, you determine the height h, which you can calculate using the Pythagorean theorem, splitting the … Free triangle calculator - step-by-step solutions to help solve the triangle for unknown sides and angles Visit Mathway on the web. Now, remember that the vertical projection of an angled line is its length times … How to Find the Area of a Right Triangle. A square consists of fou. However, the methods described above are more useful as … As you can see, when the user inputs the base as 10 and height as 20, the function traingle_area() returns the area of the triangle based on the specified base and height as 100 You can manually calculate the base and height values in a formula: 0 Find the Area of the Triangle in Python Using Heron’s Formula Let "B" represent the length of the base of the triangle, and "H" represent the length of the height of the triangle. The perpendicular to the base of a triangle is equal to the height of the triangle. (The side length of each square on the grid is 1 unit. Height of a scalene triangle if we know all its sides. In other words, it is the distance from the base to the highest point of the triangle. Right-angled triangle. The answer is the height of your equilateral triangle! Oct 9, 2024 · Whether you are looking for the triangle height formulas for special triangles such as the right, equilateral or isosceles triangle or any scalene triangle, this calculator is a safe bet – it can calculate the heights of the triangle, as well as triangle sides, angles, perimeter, and area. The triangle length calculator tells you the length of the third side if you enter two sides and an angle. To calculate the height of an equilateral triangle with the area, we have to use the formula for the area of an equilateral triangle to determine the length of one of its sides. Alternatively, if you know the length of all three sides of a triangle, you can find the area using Heron’s formula. Area of a triangle is equal to half of product of its base and height. To calculate the isosceles triangle area, you can use many different formulas. Step by step tutorial with pictues, examples and many quiz like practice problems. If it is a right triangle, use … In this lesson we’ll look at how to find the area of a triangle, which is equivalent to half of the product of the base and the height, A=(1/2)bh. These eight triangles are formed by joining any vertex of the decagon to any other vertex When it comes to choosing the right toilet for your bathroom, there are many factors to consider. While we know by courtesy of the angle sum property that the sum of interior angles is 180°, the length of sides can be anything. A triangle has three vertices. Every triangle has three heights, or altitudes, because every … How to Find the Altitude of a Triangle. A logical reasoning for this is that … Depending on the type of triangle you can use one of the following formulas to calculate the altitude (@$\begin{align*}h\end{align*}@$ ) of a triangle: Case 1: Right triangle: @$\begin{align*}h=\frac{2A}{b}\end{align*}@$ Here, @$\begin{align*}A\end{align*}@$ is the area of the right triangle, and @$\begin{align*}b\end{align*}@$ is the base of the triangle. how to get smell of bo out of clothes So, we are using float. Write the area formula. Use our free Pyramid Height Calculator to find the height of a pyramid. Hence, mathematically, base of a triangle can also be defined as twice the area divided by the height of the triangle. Substitute the lengths from the figure 1 / 3 = h / 2 Key intuition: A triangle is half as big as the rectangle that surrounds it, which is why the area of a triangle is one-half base times height What is the area of the triangle? Drag the dot to help you remember the formula. Once you have the triangle's height and base, plug them into the formula: area = 1/2(bh), where "b" is the base and "h" is the height. When the triangle has a right angle, we can directly relate sides and angles using the right-triangle definitions of sine, cosine and tangent: To find the area, you need to know the length of the triangle’s base and the height of the triangle. How do you find the height of a triangle when the sides are given? How do you find the height of an isosceles triangle? How do you find the third side of a right triangle if the base is x = 20 m, and the height is y = 20 m? I bet this question has been asked a million times, but I can't find a straight answer. How to find the sides of an isosceles triangle. ; It is asking the user to enter the base size of the triangle and stores it in baseSizeReadLine reads the user input as a string. Example: Imagine you have a triangle with a base of 10 inches and an area of 30 square inches. Substitute the lengths from the figure 1 / 3 = h / 2 Key intuition: A triangle is half as big as the rectangle that surrounds it, which is why the area of a triangle is one-half base times height What is the area of the triangle? Drag the dot to help you remember the formula. Recall that two copies of a triangle can be composed into one or … A triangle is always half the area of a rectangle with the same height and width. To find the midpoint, measure the side, and divide the length in half. The height of a triangle is also known as the altitude. Once you have the value of the height, plug it into the area equation, and label your answer with the proper units. Be prepared to explain how you know the area of your triangle is 12 square units. Their intersection is the centroid. Multiple Ways to Calculate The Area of a. manga kakarot This segment will be the height, and will be opposite from one of the 60 degree angles and adjacent to a 30 degree angle. Alternatively, if you know the length of all three sides of a triangle, you can find the area using Heron’s formula. Area of an equilateral triangle = √3a 2 / 4, where a is the side of an equilateral. All that you need are the lengths of the base and the height. Divide the length of the shortest side of the main triangle by the hypotenuse of the main triangle. Multiply the result by the length of the remaining side to get the length of the altitude. Area formula of triangle is the most straightforward way to find height when base and the area are known. Find the area of a triangle where height = 5 cm and. Area formula of triangle is the most straightforward way to find height when base and the area are known. There are more methods to calculate the height of a triangle and they are; Using angles and sides. A logical reasoning for this is that … Depending on the type of triangle you can use one of the following formulas to calculate the altitude (@$\begin{align*}h\end{align*}@$ ) of a triangle: Case 1: Right triangle: @$\begin{align*}h=\frac{2A}{b}\end{align*}@$ Here, @$\begin{align*}A\end{align*}@$ is the area of the right triangle, and @$\begin{align*}b\end{align*}@$ is the base of the triangle. It can be expressed using the formula c = √(a2 + b2),. At first, we define a function to calculate the area where we write the formula to calculate the area and then return the answer.