Question

if the area of an equilateral triangle is a and height is b then the value of b^2/a is​

Answer 1

Answer:

given that the triangle is a equilateral triangle

the area of triangle is a

and the height is b

we get

a= $\sqrt{3}$ X side(x)/4

area is also 1/2XbaseXheight

thre for we get

$\sqrt{3}$ X side(x)/4 = 1/2 base(since the triangle is a equilateeral triangle we say base = side = x) X b

by solving we get

b= root 3 x/2

subsitute the value into b^2/a

we get 3a/4 as answer