Question

The area of a triangle 150 squareinches. If the height is 20 inches, find the length of the base.

Answer 1

To answer this question we will use the following formula for the area of a triangle:

$Area=\frac{base\times height}{2}.$

Substituting Area=150in² and height=20in in the above formula we get:

$150in^2=\frac{base\times20in}{2}.$

Multiplying the above equation by 2 we get:

$\begin{gathered} 150in^2\times2=\frac{base\times20in}{2}\times2, \\ 300in^2=base\times20in. \end{gathered}$

Finally, dividing the above result by 20in we get:

$\begin{gathered} \frac{300in^2}{20in}=\frac{base\times20in}{20in}, \\ 15in=base. \end{gathered}$

Answer: The length of the base is 15 inches.