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: Determine the scale factor formula

The scale factor \(k\) of a scaled - copy is given by \(k=\frac{\text{length of a side in the new figure}}{\text{length of the corresponding side in the original figure}}\)

Step2: Choose corresponding sides

Let's use the horizontal sides. The length of the horizontal side in the original triangle is \(12\), and the length of the horizontal side in the scaled - copy is \(18\)

Step3: Calculate the scale factor

\(k = \frac{18}{12}\)
Simplify the fraction \(\frac{18}{12}=\frac{18\div6}{12\div6}=\frac{3}{2}\)

Answer:

\(\frac{3}{2}\)