Question

if the area of equilateral triangle is 81√3cm².find its height and also its perimeter

Answer 1

Area of equilateral triangle=√3 a^2/4
Given area is 81√3.
Thus a^2=81√3*4/√3
=81*4
a=9*2=18 cm.
Side is 18cm.
Perimeter=3* side=3*18=54 cm.
1/2 b*h= area of a triangle
Here area is 81√3 and base=18.
There fore height=2*81√3/18
=9√3 cm.
Cheers. Mark brainliest.