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?

I don't really know how to put it...

The scale factor is 1.5

Step-by-step explanation:

Given

Required

Determine the scale factor

From the question, we have that:

1. DEF is the original triangle and ABC is only its scale factor

2. AB and DE are the longest sides in both triangles

(2) implies that, AB is a translation of DE

The scale factor is calculated as follows

Where k is the scale factor;

Substitute values for AB and De

Hence:

The scale factor is 1.5

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