CBSE Class 7 Answered
Find the area of an equilateral triangle with side equal to 10 cm.
Asked by Topperlearning User | 25 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 | 25 Nov, 2013, 03:06: AM
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