Question

find the area.
9 in
12 in
a = ? in²

Explanation:

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

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). For a right - triangle, the two legs (the sides forming the right angle) can be considered as the base and the height. Here, the base \(b = 12\) in and the height \(h=9\) in.

Step2: Substitute the values into the formula

Substitute \(b = 12\) and \(h = 9\) into the formula \(A=\frac{1}{2}\times b\times h\). So, \(A=\frac{1}{2}\times12\times9\).
First, calculate \(12\times9 = 108\). Then, \(\frac{1}{2}\times108=54\).

Answer:

\(54\)