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
To find the base of a right triangle when you know the area and the height, 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 are given:
- Area = 33 mm²
- Height = 11 mm
Plugging these values into the formula gives:
\[
33 = \frac{1}{2} \times \text{base} \times 11
\]
To solve for the base, first multiply both sides of the equation by 2:
\[
66 = \text{base} \times 11
\]
Next, divide both sides by 11:
\[
\text{base} = \frac{66}{11} = 6 \text{ mm}
\]
Thus, the length of the base of the triangle is:
\[
\boxed{6} \text{ mm}
\]
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
In this case, you are given:
- Area = 33 mm²
- Height = 11 mm
Plugging these values into the formula gives:
\[
33 = \frac{1}{2} \times \text{base} \times 11
\]
To solve for the base, first multiply both sides of the equation by 2:
\[
66 = \text{base} \times 11
\]
Next, divide both sides by 11:
\[
\text{base} = \frac{66}{11} = 6 \text{ mm}
\]
Thus, the length of the base of the triangle is:
\[
\boxed{6} \text{ mm}
\]