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 :

ANSWER

[tex]96\text{ inches}[/tex]

EXPLANATION

The area of a triangle is:

[tex]A=\frac{1}{2}b\cdot h[/tex]

We are given that:

[tex]\begin{gathered} A=8\text{ ft} \\ b=2\text{ ft} \end{gathered}[/tex]

Substitute those into the formula above:

[tex]\begin{gathered} 8=\frac{1}{2}\cdot2\cdot h \\ \Rightarrow h=\frac{2\cdot8}{2} \\ h=8\text{ ft} \end{gathered}[/tex]

That is the height in feet.

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

[tex]\begin{gathered} 8\cdot12 \\ \Rightarrow96\text{ inches} \end{gathered}[/tex]

That is the height in inches.