Question
A triangle has a height of 1.5 feet. The area is 6 square feet. What is the measure of the base of the triangle?
*
1 point
6 feet
5 feet
8 feet
9 feet
Answers
GPT-4o mini
To find the measure 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 square feet and the height is 1.5 feet, we can plug these values into the formula:
\[
6 = \frac{1}{2} \times \text{base} \times 1.5
\]
To solve for the base, we first multiply both sides of the equation by 2 to eliminate the fraction:
\[
12 = \text{base} \times 1.5
\]
Now, divide both sides by 1.5 to isolate the base:
\[
\text{base} = \frac{12}{1.5}
\]
Calculating this gives:
\[
\text{base} = 8 \text{ feet}
\]
So, the measure of the base of the triangle is **8 feet**.
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Given that the area is 6 square feet and the height is 1.5 feet, we can plug these values into the formula:
\[
6 = \frac{1}{2} \times \text{base} \times 1.5
\]
To solve for the base, we first multiply both sides of the equation by 2 to eliminate the fraction:
\[
12 = \text{base} \times 1.5
\]
Now, divide both sides by 1.5 to isolate the base:
\[
\text{base} = \frac{12}{1.5}
\]
Calculating this gives:
\[
\text{base} = 8 \text{ feet}
\]
So, the measure of the base of the triangle is **8 feet**.