Question

in ABC,PQ||BC and BD=DC .prove that PE=EQ​

Answer 1

Answer:

Sorry but the question is incorrect PE=EQ cannot be proved as the side doesn't exist in the triangle.

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.