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

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ from the larger triangle to the smaller triangle is given by the ratio of the corresponding side lengths of the smaller triangle to the larger triangle. Let the side - length of the larger triangle be $a = 97$ and the side - length of the smaller triangle be $b = 19$. The scale factor $k=\frac{b}{a}$.

Step2: Calculate the scale factor

Substitute $a = 97$ and $b = 19$ into the formula: $k=\frac{19}{97}$. Since 19 and 97 are both prime numbers, the fraction $\frac{19}{97}$ is already in simplest form.

Answer:

$\frac{19}{97}$