In ( ABC ), let (AB=18 , cm ) and (AC=24 , cm ). A point (D ) on (AB ) is chosen so…

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

Problem

\triangle ABC

, let

AB=18\,\text{cm}

and

AC=24\,\text{cm}

. A point

D

AB

is chosen so that

AD=8\,\text{cm}

. For

DE

(where

E

is on

AC

) to be parallel to

BC

, what is the only correct statement about the length of

AE

? (a)

AE=10\,\text{cm}

makes

DE\parallel BC

. (b) No integer length of

AE

can make

DE \parallel BC

. (c)

AE=11\,\text{cm}

makes

DE\parallel BC

. (d)

AE=8\,\text{cm}

makes

DE\parallel BC