Question

How do I find a base of the triangle if I am given the area ($48$ square inches) and the height which is $16$ inches?

Answer 1

Find the base of triangle when its area and height are given:

It is given that area of the triangle is $48$ square inches and the height is $16$ inches.

The formula to find the area of a triangle when its area and height are given is:

$\mathbf{\text{Area=}}\frac{\mathbf{1}}{\mathbf{2}}\mathbf{\times }\mathbf{\text{base}}\mathbf{\times }\mathbf{\text{height}}$

Substitute $16$ for height and $48$ for area in the formula:

$\begin{array}{rcl}48& =& \frac{1}{2}\times \text{base×16}\\ & \Rightarrow & \mathrm{base}=6\end{array}$

Hence, the base of the triangle is $\mathbf{6}\mathbf{}\mathbf{\text{inches}}$.