Conquer the College Math Placement Challenge 2026 – Step Up and Shine!

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 triangle's base is 10 and its height is 5. 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 together:

\( 10 \times 5 = 50 \).

2. Now, take half of that result:

\( \frac{1}{2} \times 50 = 25 \).

Thus, the area of the triangle is 25 square units. This is why the correct answer is the one that states the area is 25. The other potential answers do not align with the area calculated using the standard formula for the area of a triangle.