Question
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)
Responses
18 square yards
18 square yards
32.5 square yards
32.5 square yards
27.5 square yards
27.5 square yards
65 square yards
Responses
18 square yards
18 square yards
32.5 square yards
32.5 square yards
27.5 square yards
27.5 square yards
65 square yards
Answers
GPT-4o mini
The formula for the area of a triangle is given by:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
In this case, the base is 13 yards and the height is 5 yards. Plugging these values into the formula gives:
\[
\text{Area} = \frac{1}{2} \times 13 \times 5
\]
Calculating this:
\[
\text{Area} = \frac{1}{2} \times 65 = 32.5 \text{ square yards}
\]
Thus, the area of the triangle is **32.5 square yards**.
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
In this case, the base is 13 yards and the height is 5 yards. Plugging these values into the formula gives:
\[
\text{Area} = \frac{1}{2} \times 13 \times 5
\]
Calculating this:
\[
\text{Area} = \frac{1}{2} \times 65 = 32.5 \text{ square yards}
\]
Thus, the area of the triangle is **32.5 square yards**.