Question

An equilateral triangle has the area of 25 squared root of 3 squared. What is the height? Round answer to the one decimal place.

Answer 1

I can only guess what this means :
area of 25 squared root of 3 squared

A = (1/2) b h
tan 60 = h/(b/2) = sqrt 3
so b/2 = h / sqrt 3

25 sqrt 3 = (h/sqrt 3)h = h^2/sqrt 3
h^2 = 25*3
h = 5 sqrt 3

Answer 2

8.7