Two students record the following measurements while trying to draw a line through on…

MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles

Problem

Two students record the following measurements while trying to draw a line through

D

AB

and

E

AC

\triangle ABC

. Set I:

AD=3\text{ cm}

DB=5\text{ cm}

AE=4.5\text{ cm}

EC=7.5\text{ cm}

Set II:

AD=3\text{ cm}

DB=5\text{ cm}

AE=4.4\text{ cm}

EC=7.4\text{ cm}

For each set, determine whether the constructed line

DE

will be parallel to

BC

. Support your decision with complete calculations and reasoning.