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?

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

Answer 1

Answer:

The scale factor is 1.5

Step-by-step explanation:

Given

$AB = 12$

$DE = 8$

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

$AB = DE * k$

Where k is the scale factor;

Substitute values for AB and De

$12 = 8 * k$

$12 =8k$

$k = \frac{12}{8}$

$k = 1.5$

Hence:

The scale factor is 1.5