Mathematics

Problem

\Delta ABC

and

\Delta DEF

are similar such that

AB

corresponds to

DE

AC

DF

and

BC

EF

. The following side lengths are given:

AB = 5\,\text{cm}

AC = 7.5\,\text{cm}

DE = 8\,\text{cm}

. a. Part 1: (i) Find the scale factor from

\Delta ABC

\Delta DEF

. b. Part 2: (ii) Using this scale factor, calculate the length

DF