Triangle Area 18: Calculate Height X Using Base Length 6

To solve for $x$, we begin by applying the formula for the area of a triangle:

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

Given: the area is 18, AE is the height (6) , and EC is the x.

Insert the known values into the formula:

$18 = \frac{1}{2} \times 6 \times x$

Simplify the equation:

$18 = 3x$

Next, solve for $x$ by dividing both sides by 3:

$x = \frac{18}{3}$

Calculate:

$x = 6$

Thus, the length $x$ is $\mathbf{6}$.