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 right - triangle is \(A=\frac{1}{2}\times base\times height\). In a right - triangle, the two legs can be considered as the base and the height. Here, the legs are \(b = 8\) yd and \(h=15\) yd.

Step2: Substitute the values into the formula

Substitute \(b = 8\) and \(h = 15\) into the formula \(A=\frac{1}{2}\times b\times h\). So, \(A=\frac{1}{2}\times8\times15\). First, calculate \(8\times15 = 120\). Then, \(\frac{1}{2}\times120=60\).

Answer:

\(60\) square yards (or \(60\space yd^{2}\))