Question
A triangle has an area of 6.5 square feet. The height of the triangle is 2.5 feet. What is the length of the base of the triangle?
*
2 points
5.2 feet
8.125 feet
9 feet
16.25 feet
*
2 points
5.2 feet
8.125 feet
9 feet
16.25 feet
Answers
GPT-4o mini
To find the length of the base of the triangle, we can use the formula for the area of a triangle:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Given that the area is 6.5 square feet and the height is 2.5 feet, we can rearrange the formula to solve for the base:
\[
\text{base} = \frac{\text{Area} \times 2}{\text{height}}
\]
Substituting the known values:
\[
\text{base} = \frac{6.5 \times 2}{2.5}
\]
Calculating the numerator:
\[
6.5 \times 2 = 13
\]
Now dividing by the height:
\[
\text{base} = \frac{13}{2.5}
\]
To make this calculation easier, we can convert 2.5 to a fraction:
\[
\frac{13}{2.5} = \frac{13}{\frac{5}{2}} = 13 \times \frac{2}{5} = \frac{26}{5} = 5.2
\]
Thus, the length of the base of the triangle is:
\[
\text{base} = 5.2 \text{ feet}
\]
So the answer is **5.2 feet**.
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Given that the area is 6.5 square feet and the height is 2.5 feet, we can rearrange the formula to solve for the base:
\[
\text{base} = \frac{\text{Area} \times 2}{\text{height}}
\]
Substituting the known values:
\[
\text{base} = \frac{6.5 \times 2}{2.5}
\]
Calculating the numerator:
\[
6.5 \times 2 = 13
\]
Now dividing by the height:
\[
\text{base} = \frac{13}{2.5}
\]
To make this calculation easier, we can convert 2.5 to a fraction:
\[
\frac{13}{2.5} = \frac{13}{\frac{5}{2}} = 13 \times \frac{2}{5} = \frac{26}{5} = 5.2
\]
Thus, the length of the base of the triangle is:
\[
\text{base} = 5.2 \text{ feet}
\]
So the answer is **5.2 feet**.