Geometry Regents Exam Prep - Practice Test & Study Guide for NY Regents

To find the area of a triangle, you can use the formula:

\[

\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}

\]

In this case, the base of the triangle is given as 10 units, and the height is 5 units. Plugging these values into the formula gives:

\[

\text{Area} = \frac{1}{2} \times 10 \times 5

\]

Calculating this step-by-step:

1. Multiply the base and height:

\[

10 \times 5 = 50

\]

2. Then, take half of this product:

\[

\frac{50}{2} = 25

\]

Thus, the area of the triangle is 25 square units. This confirms that the correct answer aligns with the calculation, showcasing that the formula for the area of a triangle effectively utilizes both the base and height to arrive at the result.