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. the left triangle has a vertical side labeled 5 and a horizontal side labeled 12. the right triangle has a vertical side labeled 15 and a horizontal side labeled 36. answer attempt 1 out of 2

Explanation:

Step1: Recall scale factor formula

The scale factor is the ratio of a corresponding side length in the scaled copy to the original side length. Let's take the vertical sides: original length is 5, scaled length is 15.

Step2: Calculate scale factor

Scale factor $= \frac{\text{Scaled length}}{\text{Original length}} = \frac{15}{5} = 3$. We can also check with the horizontal sides: $\frac{36}{12} = 3$, which confirms the scale factor.

Answer:

3