Question

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: Recall the formula for scale factor

Scale factor \(=\frac{\text{length of side in scaled copy}}{\text{length of corresponding side in original}}\)

Step2: Choose corresponding sides

Let's use the vertical sides. Original vertical side \(= 3\), scaled - copy vertical side \(=\frac{15}{4}\)

Step3: Calculate the scale factor

Scale factor \(=\frac{\frac{15}{4}}{3}=\frac{15}{4}\times\frac{1}{3}=\frac{5}{4}\)

Answer:

\(\frac{5}{4}\)