How to find the height of an equilateral triangle. Find the length of height = bisector = median if given side ( L ) : height bisector and median of an equilateral triangle : = Digit 1 2 4 6 10 F This will also cut your base in half. 2.) Let ABC be the equilateral triangle with AD as an altitude from A meeting BC at D. Then, D will be the midpoint of BC. Finding the Height of a Triangle. Since this is an equilateral triangle and we know its perimeter is 18, we can figure out that each side has a length of 6. The area of an equilateral triangle (S) is calculated from the following figure: We know that the area of a triangle is ½(base x height). 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. Let us find its height. Example 1: If you are given altitude h and you want to calculate side a, then you need to use formula which connects h and a.. To find the area of an equilateral triangle, you need to calculate the length of half the side length and substitute it into the Pythagorean theorem to find the height. An equilateral triangle is a triangle with all three sides equal and all three angles equal to 60°. Finding the height of a triangle depends on the type of triangle you are working with. Also, does it matter which side you choose as your base? If the perimeter of an equilateral triangle is 18 and its area is 15.6 square units, what is the measure of its height? To find the height of an equilateral triangle , follow these steps: 1.) Then use the Pythagreom (sp?) Here are the formulas for area, altitude, perimeter, and semi-perimeter of an equilateral triangle. This segment will be the height, and will be opposite from one of the 60 degree angles and adjacent to a 30 degree angle. The internal angles of the equilateral triangle are also the same, that is, 60 degrees. A. Example 2: If you are given area A and you want to calculate perimeter P then you need to make two steps to get the solution. Applying Pythagoras theorem in right-angled triangle ABD, we get: Hence, the height of the given triangle is 6√3 cm. (18 / 3 = 6). The equilateral triangle ABC has X as its side. The height of an equilateral triangle is 1 0 c m. Its area is. All three heights have the same length that may be calculated from: h = a * √3 / 2, where a is a side of the triangle Area of equilateral triangle. Theorm [ a^2+b^2=c^2] to find the length of that line, which is now the height. Place a line from the vertex to the base of the triangle forming two right triangles. You could also substitute it into sin60^@, cos30^@, tan30^@, or tan60^@ to find the height. D is mid point of BC.Therefor BD=DC=X/2. The diagram at the right shows when to use each of these formulas. In the equilateral triangle ABC of side «a»: ⇒ S = ½.a.h …. 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