What is the area of a triangle with a base of 6 and a height of 4?

To determine 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 6 and the height is 4. Plugging these values into the formula gives:

[

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

]

Calculating this step-by-step:

1. Multiply the base and height together: (6 \times 4 = 24).

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

Thus, the area of the triangle is 12. This reflects the capacity of the triangle to cover a certain space given its base and height.

This approach confirms why the answer is 12, as derived using the standard area formula for triangles. The other options represent values that would require either different base or height dimensions, or they mistakenly apply the area formula incorrectly.