Question

In a triangleABC, D snd E are two points on AB Such that AD=BE If DP||BC and EQ||AC Prove that PQ||AB.​

Answer 1

Step-by-step explanation:

In △ABC, we have

DP∣∣BC and EQ∣∣AC

∴

DB

AD

=

PC

AP

and

EA

BE

=

QC

BQ

⇒

DB

AD

=

PC

AP

and

DB

AD

=

QC

BQ

⇒

PC

AP

=

QC

BQ

⇒ In a △ABC, P and Q divide sides CA and CB respectively in the same ratio.

∴ PQ∣∣AB [By the converse of Basic Proportionality Theorem]

Answer 2

Answer:

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