Question

find the missing side or base of the triangle below given that the area is 30 units². the length of the missing base is units.

Explanation:

Step1: Recall triangle area formula

The area of a right triangle is $A = \frac{1}{2} \times b \times h$, where $b$ is the base, $h$ is the height.

Step2: Plug in known values

We know $A=30$, $h=5$. Substitute into the formula:
$30 = \frac{1}{2} \times b \times 5$

Step3: Solve for the base $b$

First rearrange the formula: $b = \frac{2 \times A}{h}$
Substitute values: $b = \frac{2 \times 30}{5} = \frac{60}{5} = 12$

Answer:

12