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