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

Step2: Identify corresponding sides

Let's use the horizontal sides. Original horizontal side \(a = 4\), scaled - copy horizontal side \(A=5\)

Step3: Calculate the scale factor

\(k=\frac{A}{a}=\frac{5}{4}\)

Answer:

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