Answer: scale factor = 1.5
Step-by-step explanation:
[tex]\text{Scale factor}=\dfrac{\text{Side length of image}}{\text{Side length of original figure}}[/tex]
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.
[tex]\text{For similar triangles, Corresponding sides are proportional.}[/tex]
AB is corresponds DE (longest side of both triangles)
So, [tex]\text{Scale factor}=\dfrac{\text{AB}}{\text{DE}}=\dfrac{12}{8}=1.5[/tex]
Hence, the scale factor = 1.5.
