Question

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

Explanation:

Step1: Recall area formula for right - triangle

The area formula for a right - triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height. In a right - triangle, the two legs can be considered as the base and the height.

Step2: Identify base and height

Here, the legs of the right - triangle are 8 yd and 15 yd. Let $b = 8$ yd and $h=15$ yd.

Step3: Calculate the area

Substitute $b = 8$ yd and $h = 15$ yd into the formula $A=\frac{1}{2}bh$. So, $A=\frac{1}{2}\times8\times15$. First, $8\times15 = 120$, then $\frac{1}{2}\times120=60$.

Answer:

$60$ yd$^{2}$