If a triangle has a base of 10 cm and a height of 5 cm, what is its area?

To determine 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 10 cm, and the height is 5 cm.

Substituting these values into the formula yields:

(\text{Area} = \frac{1}{2} \times 10 , \text{cm} \times 5 , \text{cm})

Calculating this gives:

(\text{Area} = \frac{1}{2} \times 50 , \text{cm}^2 = 25 , \text{cm}^2)

Thus, the area of the triangle is 25 cm². This calculation correctly applies the area formula for triangles, illustrating both the importance of each component (the base and height) and how they interact mathematically to yield the area.