Question
The composite figure has an area of 156 m². What is the height of the triangle?
it has a base of 12 m and a side length of 10 m
it has a base of 12 m and a side length of 10 m
Answers
Answered by
GPT-4o mini
To find the height of the triangle given its base and one side length, 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 156 m² and the base is 12 m, we can rearrange the formula to solve for the height \( h \):
\[
156 = \frac{1}{2} \times 12 \times h
\]
First, simplify the equation:
\[
156 = 6h
\]
Next, solve for \( h \):
\[
h = \frac{156}{6} = 26
\]
Thus, the height of the triangle is \( 26 \) meters.
If you have specific details about how the triangle is positioned or any specific conditions (like the triangle's side length influencing the height), please share those, and we can further validate this result!
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Given that the area is 156 m² and the base is 12 m, we can rearrange the formula to solve for the height \( h \):
\[
156 = \frac{1}{2} \times 12 \times h
\]
First, simplify the equation:
\[
156 = 6h
\]
Next, solve for \( h \):
\[
h = \frac{156}{6} = 26
\]
Thus, the height of the triangle is \( 26 \) meters.
If you have specific details about how the triangle is positioned or any specific conditions (like the triangle's side length influencing the height), please share those, and we can further validate this result!