Mathematics

Problem

\triangle ABC

, points

D

AB

and

E

AC

are joined so that

DE \parallel BC

. If

AB = 12\,\text{cm}

AC = 18\,\text{cm}

and

AD : DB = 2 : 1

, determine

AE

. a)

6\,\text{cm}

12\,\text{cm}

7.2\,\text{cm}

18\,\text{cm}