If the base of a triangle is 6 and the height is 4, what is its area?

If the base of a triangle is 6 and the height is 4, what is its area?

• A. 12
• B. 24
• C. 10
• D. 20

Answer: (A)

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 6 and the height is 4. Substituting these values into the formula, we have: \[ \text{Area} = \frac{1}{2} \times 6 \times 4 \] Calculating this step-by-step: 1. First, multiply the base by the height: \( 6 \times 4 = 24 \). 2. Next, take half of that product: \( \frac{1}{2} \times 24 = 12 \). Therefore, the area of the triangle is 12 square units, which corresponds to the first answer choice. This calculation clearly shows how to derive the area using the given base and height effectively.

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 6 and the height is 4. Substituting these values into the formula, we have:

[ \text{Area} = \frac{1}{2} \times 6 \times 4 ]

Calculating this step-by-step:

1. First, multiply the base by the height: ( 6 \times 4 = 24 ).

2. Next, take half of that product: ( \frac{1}{2} \times 24 = 12 ).

Therefore, the area of the triangle is 12 square units, which corresponds to the first answer choice. This calculation clearly shows how to derive the area using the given base and height effectively.