Question

triangle k is a scaled copy of triangle 1. what is the value of m?

Explanation:

Step1: Determine the scale factor

Since triangle \(K\) is a scaled copy of triangle \(1\), and the corresponding sides are \(8\) and \(4\). The scale factor \(s=\frac{4}{8}=\frac{1}{2}\)

Step2: Find the value of \(m\)

The side of length \(22\) in triangle \(1\) corresponds to the side of length \(m\) in triangle \(K\). Using the scale - factor relationship \(m = 22\times s\)

Substitute \(s=\frac{1}{2}\) into the equation: \(m=22\times\frac{1}{2}\)

Answer:

\(m = 11\)