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=(base* height)/(2).`

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

`150in^2=(base*20in)/(2).`

Multiplying the above equation by 2 we get:

`\begin{gathered} 150in^2*2=(base*20in)/(2)*2, \\ 300in^2=base*20in. \end{gathered}`

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

`\begin{gathered} (300in^2)/(20in)=(base*20in)/(20in), \\ 15in=base. \end{gathered}`

Answer: The length of the base is 15 inches.