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 fraction in simplest form.

Explanation:

Step1: Recall the formula for scale factor

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

Step2: Substitute the values

Here, the length of the corresponding side in the scaled - copy is \(15\) and in the original figure is \(24\). So, scale factor \(=\frac{15}{24}\)

Step3: Simplify the fraction

Divide numerator and denominator by their greatest common divisor. The GCD of \(15\) and \(24\) is \(3\). \(\frac{15\div3}{24\div3}=\frac{5}{8}\)

Answer:

\(\frac{5}{8}\)