Question

The front of a tent is an equilateral triangle with the ratio of its base, b, to its height, h, given by b/h=2/√ 3 . Which equation can be used to find the tent's height?

A. h=2b/√ 3

B. h=2/b√ 3

C. h=b√ 3/2

D. h=2b√ 3

Answer 1

Picturing the tent helps, but we can actually solve this question using simple algebra and no knowledge of triangles.
The key is this function:
(b/h) = 2/√3
We want to get h by itself. First, multiply both sides by h:
b = h(2/√3) Now multiply both sides by the reciprical, (√3/2)
(√3/2) b = h

Therefore, the answer is C) h= b(√3/2)