Question

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.

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: Select corresponding side lengths

Let's take the side lengths of the two triangles. The side length of the original triangle is $10$ and the side length of the scaled - copy is $15$.

Step3: Calculate the scale factor

$k = \frac{15}{10}=\frac{3}{2}$

Answer:

$\frac{3}{2}$