Find the area of an equilateral triangle with side equal to 10 cm.

Asked by Topperlearning User | 25th Nov, 2013, 01:06: AM

Expert Answer:

Let A, B and C be the vertices of the equilateral triangle and M the midpoint of segment BC. Since the triangle is equilateral, AMC is a right triangle.

 

Let us find h, the height of the triangle using Pythagorean theorem.

h2 + 52 = 102

h2 = 100 - 25

h2 = 75

h = cm

We now find the area using the formula : Area = x b x h

Thus, the area of the equilateral triangle is cm2

Answered by  | 25th Nov, 2013, 03:06: AM