What is the area of a triangle with a base of 10 and a height of 5?

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 10 and the 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 by the height: [ 10 \times 5 = 50 ]

2. Now, take half of that product: [ \frac{50}{2} = 25 ]

Thus, the area of the triangle is 25. This is why the correct answer is 25.