the triangle on the right is a scaled copy of the triangle on the left. identify the scale factor. express…

Answer:

$\frac{37}{71}$

Explanation:

Step1: Recall scale - factor formula

The scale factor from the original triangle (left) to the scaled - copy (right) is given by the ratio of the corresponding side lengths of the scaled - copy to the original triangle.

Step2: Identify corresponding side lengths

The corresponding side lengths are 37 (scaled - copy) and 71 (original).

Step3: Calculate scale factor

The scale factor $k=\frac{\text{side length of scaled copy}}{\text{side length of original}}=\frac{37}{71}$. Since 37 and 71 are both prime numbers, $\frac{37}{71}$ is in simplest form.