Triangle Area Problem: Finding Height X When Area = 15 and Base = 5

To find $x$, the vertical height of the triangle, we will use the area formula for a triangle:

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

We know that:

• The area of the triangle is 15.
• The base of the triangle, $BE$, is 5 units.
• The height of the triangle, $AE$, is $x$ units.

Substituting these values into the formula, we get:

$15 = \frac{1}{2} \times 5 \times x$

First, simplify the right side of the equation:

$15 = \frac{5}{2} \times x$

To isolate $x$, multiply both sides by 2:

$30 = 5x$

Finally, divide both sides by 5 to solve for $x$:

$x = \frac{30}{5} = 6$

Therefore, the value of $x$ is 6.