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: Select corresponding sides

We choose the vertical sides of the two right - triangles. The vertical side of the left - hand triangle is 8 and that of the right - hand triangle is 15.

Step2: Calculate the scale factor

The scale factor $k$ from the left - hand triangle to the right - hand triangle is found by dividing the length of the corresponding side of the right - hand triangle by the length of the corresponding side of the left - hand triangle. So $k=\frac{15}{8}$.

Answer:

$\frac{15}{8}$