Question
The area of the triangle below is 11.78 square centimeters. What is the length of the base
3.8cm
3.8cm
Answers
GPT-4o mini
To find the length of the height of the triangle given the area and the length of the base, you can use the formula for the area of a triangle:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
In this case, you know the area (11.78 square centimeters) and the base (3.8 cm). You can rearrange the formula to solve for the height:
\[
\text{height} = \frac{2 \times \text{Area}}{\text{base}}
\]
Substituting the known values into the equation:
\[
\text{height} = \frac{2 \times 11.78}{3.8}
\]
Calculating that:
\[
\text{height} = \frac{23.56}{3.8} \approx 6.20 \text{ cm}
\]
So, the height of the triangle is approximately 6.20 cm.
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
In this case, you know the area (11.78 square centimeters) and the base (3.8 cm). You can rearrange the formula to solve for the height:
\[
\text{height} = \frac{2 \times \text{Area}}{\text{base}}
\]
Substituting the known values into the equation:
\[
\text{height} = \frac{2 \times 11.78}{3.8}
\]
Calculating that:
\[
\text{height} = \frac{23.56}{3.8} \approx 6.20 \text{ cm}
\]
So, the height of the triangle is approximately 6.20 cm.