For , a line joins points on and on . Examine the following three independent data…

MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles

Problem

For

\triangle ABC

, a line joins points

D

AB

and

E

AC

. Examine the following three independent data sets and identify the set(s) for which

DE

could be parallel to

BC

. Just write the correct option number. (i)

AD = 3\,\text{cm},\; DB = 5\,\text{cm},\; AE = 4\,\text{cm},\; EC = 5\,\text{cm}

(ii)

AD = 4\,\text{cm},\; DB = 6\,\text{cm},\; AE = 6\,\text{cm},\; EC = 9\,\text{cm}

(iii)

AD = 5\,\text{cm},\; DB = 4\,\text{cm},\; AE = 7\,\text{cm},\; EC = 8\,\text{cm}