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 10 cm, and the height is 5 cm.

Substituting the values into the formula gives:

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

Calculating this step-by-step:

1. First, multiply the base by the height: ( 10 , \text{cm} \times 5 , \text{cm} = 50 , \text{cm}^2 ).
2. Then, take half of this product: ( \frac{1}{2} \times 50 , \text{cm}^2 = 25 , \text{cm}^2 ).

Thus, the area of the triangle is 25 cm², confirming that the correct answer is indeed 25 cm². This calculation clearly illustrates how the area is derived from the base