Use the formula for the area of a triangle to determine the area of a triangle with base equal to 13 yards and height equal to 5 yards. (1 point)

Question

Responses

65 square yards
65 square yards

18 square yards
18 square yards

32.5 square yards
32.5 square yards

27.5 square yards
27.5 square yards
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Answer 1

The area \( A \) of a triangle can be calculated using the formula:

\[ A = \frac{1}{2} \times \text{base} \times \text{height} \]

In this case, the base is 13 yards and the height is 5 yards. Plugging these values into the formula gives:

\[ A = \frac{1}{2} \times 13 \times 5 \]

Now, calculate it step by step:

1. Multiply the base and height: \( 13 \times 5 = 65 \)
2. Now, multiply by \( \frac{1}{2} \):

\[ A = \frac{1}{2} \times 65 = 32.5 \]

So, the area of the triangle is 32.5 square yards.