Question

ABC PQ perpendicular to BC and BD is equal to DC prove that PE is equal to EQ​

Answer 1

Answer:

In △ABC, PQ∣∣BC and BD=DC.

We know that AD bisects PQ and PE=EQ

We also know that PE∣∣BD and EQ∣∣DC

But, it is given that BD=DC, therefore, PE∣∣EQ

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

Hence, PE∣∣EQ.