Question
A right triangle has an area of 33 mm² and a height of 11 mm.
How long is the base of the triangle?
Enter your answer in the box.
mm
How long is the base of the triangle?
Enter your answer in the box.
mm
Answers
GPT-4o mini
The area \( A \) of a triangle can be calculated using the formula:
\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]
In this case, we know the area \( A = 33 \, \text{mm}^2 \) and the height \( h = 11 \, \text{mm} \). We can rearrange the formula to solve for the base \( b \):
\[
b = \frac{2A}{h}
\]
Substituting the known values into the formula:
\[
b = \frac{2 \times 33}{11}
\]
\[
b = \frac{66}{11}
\]
\[
b = 6 \, \text{mm}
\]
Thus, the length of the base of the triangle is \( \boxed{6} \) mm.
\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]
In this case, we know the area \( A = 33 \, \text{mm}^2 \) and the height \( h = 11 \, \text{mm} \). We can rearrange the formula to solve for the base \( b \):
\[
b = \frac{2A}{h}
\]
Substituting the known values into the formula:
\[
b = \frac{2 \times 33}{11}
\]
\[
b = \frac{66}{11}
\]
\[
b = 6 \, \text{mm}
\]
Thus, the length of the base of the triangle is \( \boxed{6} \) mm.