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

the triangle on the right is a scaled copy of the triangle on the left. identify the scale factor. express your answer as a whole number or fraction in simplest form.

the triangle on the right is a scaled copy of the triangle on the left. identify the scale factor. express your answer as a whole number or fraction in simplest form.

Answer

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ from the original figure to the scaled - copy is given by $k=\frac{\text{length in scaled copy}}{\text{length in original}}$.

Step2: Identify corresponding side lengths

The length of a side in the original triangle is $15$, and the length of the corresponding side in the scaled - copy is $\frac{45}{2}$.

Step3: Calculate the scale factor

$k = \frac{\frac{45}{2}}{15}=\frac{45}{2}\times\frac{1}{15}=\frac{45}{30}=\frac{3}{2}$

Answer:

$\frac{3}{2}$