Answer:
13 inches
Step-by-step explanation:
The area of a triangle can be found using:
[tex]a=\frac{bh}{2}[/tex]
We know the area is 156, and the base is 24, so we can substitute them in
[tex]156=\frac{24h}{2}[/tex]
Multiply both sides by 2 to eliminate the denominator
[tex]2(156)=(\frac{24h}{2})2[/tex]
312=24h
Since we want to find h, divide both sides by 24 to isolate h
312/24=24h/24
h=13
So, the height is 13 inches
