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

To find the area of a triangle, we 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, we first multiply the base and the height:

[ 6 \times 4 = 24 ]

Then, we take half of that product:

[ \frac{1}{2} \times 24 = 12 ]

Therefore, the area of the triangle is 12. This clarifies why the answer is correct.