Question
The area of the triangle below is 13.42 square inches. What is the length of the base?
4.4in
4.4in
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:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
We can rearrange this formula to solve for the base:
\[
\text{base} = \frac{2 \times \text{Area}}{\text{height}}
\]
Given that the area is \( 13.42 \) square inches and the height is given as \( 4.4 \) inches, we can now substitute these values into the formula.
To find the length of the base, we can rewrite the equation:
\[
\text{base} = \frac{2 \times 13.42}{4.4}
\]
Calculating the right side:
\[
\text{base} = \frac{26.84}{4.4} \approx 6.09
\]
So, the length of the base is approximately \( 6.09 \) inches.
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
We can rearrange this formula to solve for the base:
\[
\text{base} = \frac{2 \times \text{Area}}{\text{height}}
\]
Given that the area is \( 13.42 \) square inches and the height is given as \( 4.4 \) inches, we can now substitute these values into the formula.
To find the length of the base, we can rewrite the equation:
\[
\text{base} = \frac{2 \times 13.42}{4.4}
\]
Calculating the right side:
\[
\text{base} = \frac{26.84}{4.4} \approx 6.09
\]
So, the length of the base is approximately \( 6.09 \) inches.