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

PE = EQ  and PE ║EQ

Step-by-step explanation:

given : PQ is parallel to BC& BD= DC

in triagle ABC

PQ║ BC

BD = DC

we know that AD bisects PQ

therefore , PE = EQ

we also know that PE║BD  and EQ ║DC

but it is given that  BD = CD

therefore , PE ║EQ

because , if two or more lines are parallel to same line they are parallel to each  other

hence , PE = EQ  and PE ║EQ

#Learn more :

In triangle ABC PQ is parallel to BC prove that triangle APQ~triangle ABC

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