Question

find area of equilateral triangle having altitude h cm

Answer 1

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☸ Required Answer is ⬇ ⬇⬇ ⬇⬇

Given,

Altitude of equilateral triangle = h cm
Let the side of triangle = x cm

As we all know the altitude bisects the side of triangle .

A.T.Q

Area of angled triangle ADC,

area = 1/2 × base × height
= 1/2 × x/2 ×h
= 2xh/2
= xh cm²

Area of triange ABC = 2 × area of triangle ADC

= 2xh cm²


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Answer 2

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

HOPE IT HELPS U