Calculate Triangle Area: Right Triangle with Base 10 and Height 9

Calculate the area of the triangle using the data in the figure below.

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information
• Step 2: Apply the appropriate formula
• Step 3: Perform the necessary calculations

Now, let's work through each step:

Step 1: We are given that $AC = 9$ (the height) and $BC = 10$ (the base) of the triangle.

Step 2: We'll use the formula for the area of a triangle: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$.

Step 3: Plugging in our values, we have:

Therefore, the area of the triangle is $45$.