In a triangle (ABC )

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

Problem

In a triangle

ABC

, points

D

AB

and

E

AC

are chosen. Which set of lengths ensures that

DE

is parallel to

BC

? (a)

AD=3\,\text{cm},\;DB=6\,\text{cm},\;AE=6\,\text{cm},\;EC=3\,\text{cm}

(b)

AD=2\,\text{cm},\;DB=4\,\text{cm},\;AE=3\,\text{cm},\;EC=3\,\text{cm}

(c)

AD=3\,\text{cm},\;DB=6\,\text{cm},\;AE=4\,\text{cm},\;EC=8\,\text{cm}

(d)

AD=2\,\text{cm},\;DB=5\,\text{cm},\;AE=3\,\text{cm},\;EC=7\,\text{cm}