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

25 cm²

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.

First, multiply the base and height:

\( 10 \, \text{cm} \times 5 \, \text{cm} = 50 \, \text{cm}^2 \).

Next, take half of that product to find the area:

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

This calculation demonstrates that the area of the triangle is 25 cm², which confirms that this is the correct answer.

The other options do not represent the correct area calculation based on the given dimensions. They may result from incorrect applications of the area formula or misconceptions about triangle properties.

50 cm²

20 cm²

30 cm²

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