Question

what is the area of the triangle?
5 ft
12 ft
5
12
30
15

Explanation:

Step1: Recall the formula for the area of a right - triangle

The formula for the area of a right - triangle is \(A=\frac{1}{2}\times base\times height\).

Step2: Identify the base and height

In right - triangle \(ABC\) with \(\angle B = 90^{\circ}\), the base \(b = 12\) ft and the height \(h=5\) ft.

Step3: Substitute the values into the formula

Substitute \(b = 12\) and \(h = 5\) into \(A=\frac{1}{2}\times b\times h\). Then \(A=\frac{1}{2}\times12\times5\).
First, calculate \(12\times5 = 60\). Then \(A=\frac{60}{2}=30\) square feet.

Answer:

30