Calculate Triangle Area: Right Triangle with Base 7 and Height 4

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

• Step 1: Identify the base and height of the triangle.
• Step 2: Substitute these values into the formula for the area of a triangle.
• Step 3: Perform the calculation to determine the area.

Let's work through each step:

Step 1: From the given information, the base of the triangle is 7 units, and the height is 4 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 the values for the base and height, we have:
$\text{Area} = \frac{1}{2} \times 7 \times 4$

Performing the multiplication, we get:
$\text{Area} = \frac{1}{2} \times 28 = 14$

Therefore, the area of the triangle is $\textbf{14}$ square units.