Question

the triangle on the right is a scaled copy of the triangle on the left. identify the scale factor. express your answer as a whole number or fraction in simplest form. answer attempt 1 out of 5

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ from the original figure to the scaled - copy is given by $k=\frac{\text{length in scaled copy}}{\text{length in original figure}}$.

Step2: Select corresponding side lengths

We can choose any pair of corresponding side lengths. Let's take the side of length 19 in the original triangle and the side of length $\frac{57}{2}$ in the scaled - copy triangle.

Step3: Calculate the scale factor

$k = \frac{\frac{57}{2}}{19}=\frac{57}{2\times19}=\frac{3}{2}$

Answer:

$\frac{3}{2}$