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: Determine corresponding sides

The left triangle has a side length of 33, and the right (scaled) triangle has a corresponding side length of 25. The scale factor is the ratio of the length of the scaled triangle's side to the original triangle's side.
So, scale factor = $\frac{\text{Length of scaled side}}{\text{Length of original side}}$ = $\frac{25}{33}$.

Step2: Simplify the fraction

The greatest common divisor (GCD) of 25 and 33 is 1 (since 25 factors are 1, 5, 25 and 33 factors are 1, 3, 11, 33; no common factors other than 1). So, $\frac{25}{33}$ is already in simplest form.

Answer:

$\frac{25}{33}$