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, the formula used is:

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

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

[ \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 correctly calculated to be 25 cm². This understanding is crucial in geometry as it applies to various problems involving triangular shapes. The other values presented do not match the calculation derived from the formula, confirming that 25 cm² is indeed the correct area.