Question

The length of the base of a triangle is twice its height. if the area of the triangle is 44 square​ kilometers, find the height

Answer 1

Let
$x$
be the height of the triangle.

Formular for area of Triangle
= ½ × base × height






thus,
${ \frac{1}{2} }(2x)(x)=44\ kilometers^2$

Simplifying
$x^2=44\ kilometers^2 \\\\ x= \sqrt{ 44 } \\\\ x=6.63\ kilometers$