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.

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: Substitute the values

Here, length of side in scaled copy \( = 15\), length of corresponding side in original \(=10\). So scale factor \(=\frac{15}{10}\)

Step3: Simplify the fraction

\(\frac{15}{10}=\frac{3\times5}{2\times5}=\frac{3}{2}\)

Answer:

\(\frac{3}{2}\)