Triangle Area Calculation: Finding Area with Base 4 and Height 8.5

Calculate the area of the following triangle:

To solve this problem, we'll use the formula for the area of a triangle given its base and height:

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

Now, let's apply these steps:

Step 1: From the given problem, we know:
- The base $BC$ of the triangle is $4$ units.
- The height $AE$, which is perpendicular to $BC$, is $8.5$ units.

Step 2: Use the formula for the area of the triangle:
$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$

Step 3: Substitute the values into the formula:
$\text{Area} = \frac{1}{2} \times 4 \times 8.5 = 2 \times 8.5 = 17$

Hence, the area of the triangle is 17 square units.