Question

find the area of an quilateral triangle of side '2a' each.

Answer 1

Equilateral triangle: the altitude h can be found as below, as the altitude divides the triangle in to two equal parts. The base is divided into two.

h² = side² - (side/2)² = 3/4 side² = 3 a²

h = √3 a

area = 1/2 (2a) √3 a  = √3 a²

Answer 2

Hello dear friend
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Here is your answer
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The formula of area of an equilateral triangle is:
√3/4(side)^2
= √3 /4 (2a)^2
= √3/4× 4a^2
=√3a^2


I hope this helps u dear friend