Question

find the area of the triangle below.
be sure to include the correct unit in your answer.

Explanation:

Step1: Recall the formula for the area of a right - triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). For a right - triangle, the two legs (the sides forming the right angle) can be used as the base and the height. Here, the base \(b = 8\) ft and the height \(h=15\) ft.

Step2: Substitute the values into the formula

Substitute \(b = 8\) and \(h = 15\) into the formula \(A=\frac{1}{2}\times b\times h\). We get \(A=\frac{1}{2}\times8\times15\).
First, calculate \(8\times15=120\). Then, \(A=\frac{1}{2}\times120\).

Step3: Calculate the final result

\(A = 60\)

Answer:

\(60\) square feet