The area of a triangle is X cm2. If its base is Y cm, what is its height?

Here are the solutions to the problems from the image.

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The area of a triangle is $36 \text{ cm}^2$. If its base is $6 \text{ cm}$, what is its height?

Step 1: Write the formula for the area of a triangle.
The area of a triangle ($A$) is given by:

$$A = \frac{1}{2}bh$$

where $b$ is the base and $h$ is the height.

Step 2: Substitute the given values into the formula.
Given $A = 36 \text{ cm}^2$ and $b = 6 \text{ cm}$.

$$36 = \frac{1}{2} \times 6 \times h$$

Step 3: Solve for the height ($h$).

$$36 = 3h$$ $$h = \frac{36}{3}$$ $$h = 12 \text{ cm}$$

The height of the triangle is $\boxed{\text{12 cm}}$.

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