Question

the area is one - half the base times the height, or ( a=\frac{1}{2}bh ). write an equation for the area, ( a ), of the triangle shown.

Explanation:

Step1: Recall the area formula for a triangle

The formula for the area of a triangle is \(A=\frac{1}{2}bh\), where \(b\) is the base and \(h\) is the height.

Step2: Identify the base and height values

From the problem, the base \(b = 12\) ft and the height \(h=20\) ft.

Step3: Substitute the values into the formula

Substitute \(b = 12\) and \(h = 20\) into \(A=\frac{1}{2}bh\). So the equation for the area is \(A=\frac{1}{2}\times12\times20\).

Answer:

\(A=\frac{1}{2}\times12\times20\)