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

`(b)/(h) = (2)/(√(3))`

Multiply each side by h

`b= ((2)/(√(3)))b`
Multiply each side by √3/2.

`(√(3) \, b)/(2) = h`

Answer:
`h= (√(3) \, b)/(2)`