Triangle Area Calculation: Using Height 6 and Base 9

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

• Step 1: Identify the base and the height of the triangle.
• Step 2: Apply the area formula for a triangle.
• Step 3: Calculate the area using the given values.

Now, let's apply these steps:

Step 1: From the problem, $BC = 9$ is the base and $AD = 6$ is the height.

Step 2: The area of a triangle is given by the formula $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$.

Step 3: Substitute the given values into the formula:
$\text{Area} = \frac{1}{2} \times 9 \times 6 = \frac{1}{2} \times 54 = 27$.

Therefore, the area of triangle $\triangle ABC$ is $27$.