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

• A. 15 cm²
• B. 20 cm²
• C. 25 cm²
• D. 30 cm²

Answer: (C)

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 given as 10 cm, and the height is 5 cm. Plugging these values into the formula results in:

[

\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, which corresponds to the correct answer. This area calculation is vital for understanding geometric principles and applying them in various contexts, such as in architecture, engineering, or when calculating material requirements.

The other options do not match the calculated area based on the given base and height using the correct formula for the area of a triangle.