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

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:

\[
\boxed{6} \text{ mm}
\]

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