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

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 cm and the height is 5 cm. Plugging these values into the formula, you calculate the area as follows:

[ \text{Area} = \frac{1}{2} \times 10 , \text{cm} \times 5 , \text{cm} ]

[ \text{Area} = \frac{1}{2} \times 50 , \text{cm}^2 ]

[ \text{Area} = 25 , \text{cm}^2 ]

Thus, the area of the triangle is 25 cm², making this the correct answer. This application of the area formula shows how the base and height are crucial for determining the size of the triangle, and it reinforces that the area can be understood as half the product of these two dimensions.