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

To solve this problem, we will follow these steps:

• Step 1: Identify the relevant sides based on problem context
• Step 2: Apply the standard triangle area formula
• Step 3: Calculate the area based on the known values for base and height

Let's work through each step in detail:

Step 1: We are seeking to calculate the area of the triangle. We identified that the line segment of 4 units represents the height, and the base is 7 units.

Step 2: We will apply the formula for the area of a right triangle: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$.

Step 3: Plug the values we have: $\text{Area} = \frac{1}{2} \times 7 \times 4 = \frac{1}{2} \times 28 = 14$.

Thus, the area of the triangle is $14$ square units.