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 scale - factor formula

The scale factor $k$ from the original figure to the scaled - copy is given by the ratio of the corresponding side lengths of the scaled - copy to the original figure. Let the side length of the original triangle be $a = 99$ and the side length of the scaled - copy be $b = 86$.

Step2: Calculate the scale factor

The scale factor $k=\frac{b}{a}$. Substituting $a = 99$ and $b = 86$ into the formula, we get $k=\frac{86}{99}$. Since 86 and 99 have no common factors other than 1, the fraction is in simplest form.

Answer:

$\frac{86}{99}$