Question

the area of a triangular piece of roof siding is 74 square feet. find the measurement of the height if the base is 8 feet.
options:
18.5 feet
6.4 feet
9.25 feet
8.11 feet

Explanation:

Step1: Recall triangle area formula

The area of a triangle is $A = \frac{1}{2} \times b \times h$, where $A$ is area, $b$ is base, $h$ is height.

Step2: Substitute known values

We know $A=74$ sq ft, $b=8$ ft. Substitute into formula:
$74 = \frac{1}{2} \times 8 \times h$

Step3: Simplify and solve for $h$

First calculate $\frac{1}{2} \times 8 = 4$, so:
$74 = 4h$
$h = \frac{74}{4} = 18.5$

Answer:

18.5 feet