Question

The front of a tent is an equilateral triangle with the ratio of its base, b, to its height, h, given by b over h equal fraction numerator 2 over denominator square root of 3 end fraction. What equation can be used to find the tent's height?

Answer 1

The triangle is equilateral, and the length of a side is b.
The height, h, is given by
$\frac{b}{h} = \frac{2}{\sqrt{3}}$

Multiply each side by h
$b= (\frac{2}{\sqrt{3}})b$
Multiply each side by √3/2.
$\frac{\sqrt{3} \, b}{2} = h$

Answer: $h= \frac{\sqrt{3} \, b}{2}$