In ( ABC ), points (D ) on (AB ) and (E ) on (AC ) satisfy (DE BC ). Given (AD=4 , cm…

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

Problem

\triangle ABC

, points

D

AB

and

E

AC

satisfy

DE\parallel BC

. Given

AD=4\,\text{cm}

DB=6\,\text{cm}

and

EC=9\,\text{cm}

, find the length of

AE

. (a)

5\,\text{cm}

(b)

3.6\,\text{cm}

(c)

6\,\text{cm}

(d)

4\,\text{cm}