Question

Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12 cm and is the longest side of ABC. Side DE measures 8 cm and is the longest side of DEF.
Triangle ABC is a scaled copy of triangle DEF with what scale factor?

Answer 1

Answer: scale factor = 1.5

Step-by-step explanation:

$\text{Scale factor}=\dfrac{\text{Side length of image}}{\text{Side length of original figure}}$

Given: Triangle ABC is a scaled copy of triangle DEF.

Side AB = 12 cm and is the longest side of ABC.

Side DE = 8 cm and is the longest side of DEF.

$\text{For similar triangles, Corresponding sides are proportional.}$

AB is corresponds DE (longest side of both triangles)

So, $\text{Scale factor}=\dfrac{\text{AB}}{\text{DE}}=\dfrac{12}{8}=1.5$

Hence, the scale factor = 1.5.