Calculate Triangle Area: Right Triangle with Base 7 and Height 5

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

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

Now, let's work through each step:
Step 1: The base of the triangle is given as 7 units, and the height is given as 5 units.
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:
$\text{Area} = \frac{1}{2} \times 7 \times 5 = \frac{1}{2} \times 35 = 17.5$.

Therefore, the area of the triangle is $17.5$ square units.