Question

find the area of each triangle.
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Explanation:

1)

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

The area of a triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \). For a right triangle, the two legs can be considered as the base and height. Here, base \( b = 8 \) yd and height \( h = 9 \) yd.

Step2: Substitute the values into the formula.

\( A = \frac{1}{2} \times 8 \times 9 \)
First, calculate \( 8 \times 9 = 72 \), then \( \frac{1}{2} \times 72 = 36 \).

Step1: Identify the base and height.

The base of the triangle is \( 16 \) ft and the height is \( 8 \) ft. Use the area formula \( A = \frac{1}{2} \times \text{base} \times \text{height} \).

Step2: Substitute the values.

\( A = \frac{1}{2} \times 16 \times 8 \)
First, \( 16 \times 8 = 128 \), then \( \frac{1}{2} \times 128 = 64 \).

Step1: Determine base and height.

The base is \( 15 \) cm and the height is \( 7 \) cm. Apply the area formula \( A = \frac{1}{2} \times \text{base} \times \text{height} \).

Step2: Calculate the area.

\( A = \frac{1}{2} \times 15 \times 7 \)
\( 15 \times 7 = 105 \), so \( \frac{1}{2} \times 105 = 52.5 \).

Answer:

\( 36 \) square yards

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