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

Step2: Identify corresponding sides

Take the vertical sides: original side length \(a = 5\), scaled - copy side length \(A=10\)

Step3: Calculate the scale factor

Scale factor \(=\frac{A}{a}=\frac{10}{5} = 2\)
(We can also check with the horizontal sides: original side length \(b = 12\), scaled - copy side length \(B = 24\), and \(\frac{B}{b}=\frac{24}{12}=2\))

Answer:

\(2\)