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:

Area = (base × height) ÷ 2.

In this case, the base is 10 units and the height is 5 units. Plugging the values into the formula gives:

Area = (10 × 5) ÷ 2

= 50 ÷ 2

= 25 square units.

This calculation shows that the area of the triangle is indeed 25 square units, which corresponds to the correct answer. The base and height are critical components of the formula; when multiplied together and divided by two, they give the area. This method provides a straightforward way to determine the area and is applicable to any triangle, as long as the base and height are known.