Question

The height of a triangle is 4 times its base. The area of the triangle is 288 square. Find the base and the height of the triangle

Answer 1

$\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh\qquad \begin{cases} b=base\\ h=height\\ ----------\\ h=4b\leftarrow \begin{array}{llll} \textit{height is 4}\\ \textit{times the base} \end{array}\\ A=288 \end{cases}\implies 288=\cfrac{1}{2}\cdot b\cdot 2b$

solve for "b", to see what the base is

what about the height?  well, h = 4b