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 $k=\frac{\text{corresponding side length in scaled copy}}{\text{corresponding side length in original}}$.

Step2: Identify corresponding side lengths

The side length of the original right - triangle is 4, and the corresponding side length of the scaled right - triangle is 7.

Step3: Calculate the scale factor

$k = \frac{7}{4}$

Answer:

$\frac{7}{4}$