Question

The base of a triangle is two times its height. If the area of the triangle is 36, then what is the height of the triangle?

Answer 1

We have:

h - height

b = 2h - base

A = 36 - area

so:

`A=(1)/(2)\cdot b\cdot h\\\\A=(1)/(2)\cdot 2\cdot h \cdot h\\\\A=h^2\\\\36=h^2\quad|√((\dots))\\\\\boxed{h=6}`