Question
A piece of paper is in the shape of a right triangle. The base is 4.25 inches and the height is 11 inches. What is the area of the right triangle in square inches Express your answer as a decimal. Do not round your answer
Answers
GPT-4o mini
The area \( A \) of a right triangle can be calculated using the formula:
\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]
Given the base is 4.25 inches and the height is 11 inches, we can substitute these values into the formula:
\[
A = \frac{1}{2} \times 4.25 \times 11
\]
Calculating the product inside the formula,
\[
4.25 \times 11 = 46.75
\]
Now, substituting this back into the area formula:
\[
A = \frac{1}{2} \times 46.75 = 23.375
\]
Thus, the area of the right triangle is
\[
\boxed{23.375} \text{ square inches}
\]
\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]
Given the base is 4.25 inches and the height is 11 inches, we can substitute these values into the formula:
\[
A = \frac{1}{2} \times 4.25 \times 11
\]
Calculating the product inside the formula,
\[
4.25 \times 11 = 46.75
\]
Now, substituting this back into the area formula:
\[
A = \frac{1}{2} \times 46.75 = 23.375
\]
Thus, the area of the right triangle is
\[
\boxed{23.375} \text{ square inches}
\]