What is the area of a triangle with a base of 10 cm and a height of 6 cm?

To determine the area of a triangle, the formula used is:

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

In this scenario, the base of the triangle is given as 10 cm and the height is 6 cm. Plugging these values into the formula yields:

[ \text{Area} = \frac{1}{2} \times 10 , \text{cm} \times 6 , \text{cm} ]

Performing the multiplication:

[ 10 , \text{cm} \times 6 , \text{cm} = 60 , \text{cm}^2 ]

Then, taking half of that result:

[ \frac{60 , \text{cm}^2}{2} = 30 , \text{cm}^2 ]

Thus, the area of the triangle is 30 cm², confirming that the correct answer is indeed 30 cm². The calculations accurately reflect the dimensions provided, and following the area formula yields the expected result.