Question

the triangle on the right is a scaled copy of the triangle on the left. identify the scale. express your answer as a whole number or fraction in simplest form.

Explanation:

Step1: Recall scale - factor formula

The scale factor \(k\) from the original figure to the scaled - copy is given by \(k=\frac{\text{length in scaled copy}}{\text{length in original figure}}\).

Step2: Identify corresponding side lengths

Let the side - length of the original triangle be \(10\) and the side - length of the scaled copy be \(15\).

Step3: Calculate the scale factor

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

Answer:

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