Question

the right triangle on the right is a scaled copy of the right triangle on the left. identify the scale factor. express your answer as a whole number or fraction in simplest form.

Explanation:

Step1: Identify corresponding sides

The left - triangle has a side of length \(20\), and the right - triangle has a corresponding side of length \(40\).

Step2: Calculate the scale factor

The scale factor \(k\) is given by the formula \(k=\frac{\text{length of side in new figure}}{\text{length of corresponding side in original figure}}\). So, \(k = \frac{40}{20}\).

Answer:

\(2\)