Find the area of an equilateral triangle having altitude of hcm.
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equilateral triangle height h
let x be the side then ;;;;---
x^2 = h^2 +(x/2)^2
or x^2 - x^2/4 = h^2
or 3/4x^2=h^2
x= 2/sqrt3 h
area = 1/2 h*x
= 1/2 h * 2/sqrt3 *h
=h^2/sqrt3 = that is given
let x be the side then ;;;;---
x^2 = h^2 +(x/2)^2
or x^2 - x^2/4 = h^2
or 3/4x^2=h^2
x= 2/sqrt3 h
area = 1/2 h*x
= 1/2 h * 2/sqrt3 *h
=h^2/sqrt3 = that is given
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