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

Explanation:

`\text{Scale factor}=\frac{\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}=\frac{\text{AB}}{\text{DE}}=(12)/(8)=1.5`

Hence, the scale factor = 1.5.