Triangle Area Formula: Find Height X When Area = 9 and Base = 3

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

• Step 1: Identify the given base and area of the triangle.
• Step 2: Apply the triangle area formula to find the height $x$.
• Step 3: Perform the necessary calculations to determine $x$.

Now, let's work through each step:
Step 1: The problem gives us the base $BC = 3$ and the area of the triangle as $9$.
Step 2: We'll use the formula $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$.
Step 3: Plugging in our values, the equation becomes $9 = \frac{1}{2} \times 3 \times x$.
Rearranging for $x$, we have: $x = \frac{2 \times 9}{3} = \frac{18}{3} = 6$.

Thus, the solution to the problem is $x = 6$.