Question

The area of a triangle is 8 feet square and the base is 2 feet. What is the height of the triangle in inches?

Answer 1

`96\text{ inches}`

Step-by-step explanation

The area of a triangle is:

`A=(1)/(2)b\cdot h`

We are given that:

`\begin{gathered} A=8\text{ ft} \\ b=2\text{ ft} \end{gathered}`

Substitute those into the formula above:

`\begin{gathered} 8=(1)/(2)\cdot2\cdot h \\ \Rightarrow h=(2\cdot8)/(2) \\ h=8\text{ ft} \end{gathered}`

That is the height in feet.

To convert it to inches, multiply the height in feet by 12. That is:

`\begin{gathered} 8\cdot12 \\ \Rightarrow96\text{ inches} \end{gathered}`

That is the height in inches.