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. answer attempt 1 out of 2

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 $a = 15$ and the side length of the scaled - copy be $b=\frac{45}{2}$.

Step2: Calculate the scale factor

$k=\frac{b}{a}=\frac{\frac{45}{2}}{15}$.
We can rewrite the division as a multiplication by the reciprocal: $k = \frac{45}{2}\times\frac{1}{15}$.
Simplify the fraction: $\frac{45}{2\times15}=\frac{45}{30}=\frac{3}{2}$.

Answer:

$\frac{3}{2}$