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

• A. 25 cm²
• B. 30 cm²
• C. 35 cm²
• D. 50 cm²

Answer: (A)

To find the area of a triangle, you use the formula:

[

\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. Plugging in these values into the formula gives:

[

\text{Area} = \frac{1}{2} \times 10 \times 5

]

[

\text{Area} = \frac{1}{2} \times 50

]

[

\text{Area} = 25 , \text{cm}^2

]

This calculation demonstrates that the area of the triangle is indeed 25 cm². The formula effectively captures the relationship between the base and height in calculating the space contained within the triangular shape.

In contrast, other choices may include values that arise from misunderstanding the area formula or incorrect application of the measurements. For instance, using the entire base without halving it or mixing up the dimensions could lead to larger area calculations that do not accurately represent the triangle's size.