Question

a right triangle with one leg labeled 12 yd, another leg labeled 15 yd (right angle between them). below the triangle, area = is written.

Explanation:

Step1: Recall area formula for right triangle

The area \( A \) of a right triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \).

Step2: Identify base and height

Here, the base is \( 15 \) yd and the height is \( 12 \) yd.

Step3: Substitute values into formula

\( A = \frac{1}{2} \times 15 \times 12 \)
First, calculate \( 15 \times 12 = 180 \).
Then, \( \frac{1}{2} \times 180 = 90 \).

Answer:

The area of the right triangle is \( 90 \) square yards.