In , points on and on are joined so that . If , and , determine…

MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles

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}

(b)

12\,\text{cm}

(c)

7.2\,\text{cm}

(d)

18\,\text{cm}