Question

in triangle ABC, PQ is parallel to BC& BD= DC prove that PE=EQ

Answer 1

Since PQ PARALLEL TO BC . SO, NOW BD=DC (D IS THE MIDPOINT ) . BY( NCERT THEOROM 10.3) E OA ALSO THE MID POINT . THEREFORE PE=EQ . HENCE , PROVED.

Answer 2

In Triangle ABC, PQ || BC and BD = DC.

We know that AD bisects PQ and PE = EQ

We also know that PE || BD and EQ II DC

But, it is given that BD = DC, therefore,

$\implies$PE II EQ

(Because if two or more lines are parallel to the same line then they are parallel to each other)

Hence, PE II EQ.