A triangle has a base of 10 cm and a height of 5 cm. What is its area?

A triangle has a base of 10 cm and a height of 5 cm. What is its area?

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

Answer: (A)

To find the area of a triangle, you can 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, we get: \[ \text{Area} = \frac{1}{2} \times 10 \, \text{cm} \times 5 \, \text{cm} \] This simplifies to: \[ \text{Area} = \frac{1}{2} \times 50 \, \text{cm}^2 = 25 \, \text{cm}^2 \] Thus, the area of the triangle is indeed 25 cm², confirming that the correct answer is accurate. This calculation is essential in geometry and can be applied in various real-world contexts, such as determining the amount of material needed to cover a triangular surface.

To find the area of a triangle, you can 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, we get:

[

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

]

This simplifies to:

[

\text{Area} = \frac{1}{2} \times 50 , \text{cm}^2 = 25 , \text{cm}^2

]

Thus, the area of the triangle is indeed 25 cm², confirming that the correct answer is accurate. This calculation is essential in geometry and can be applied in various real-world contexts, such as determining the amount of material needed to cover a triangular surface.