If a triangle has an area of 24 and a base of 8, what is its height?

To find the height of the triangle, we can use the formula for the area of a triangle, which is given by:

[

\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}

]

In this case, we know the area of the triangle is 24 square units and the base is 8 units. We can substitute these values into the formula and solve for the height.

First, we set up the equation:

[

24 = \frac{1}{2} \times 8 \times \text{height}

]

Now, simplify the equation. The multiplication of ( \frac{1}{2} ) and ( 8 ) gives ( 4 ):

[

24 = 4 \times \text{height}

]

Next, to find the height, divide both sides of the equation by 4:

[

\text{height} = \frac{24}{4} = 6

]

Thus, the height of the triangle is 6 units, confirming that the correct answer is indeed the option that indicates 6. Understanding this process is critical, as it emphasizes the use of the area