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