Question

In the figure, line l intersects sides AB and AC
in points, P and Q respectively. If AP=3, PB=6,
AQ=4 and QC =8. State whether line PQ is parallel
to side BC or not.​

Answer 1

Answer:

Yes

Step-by-step explanation:

Given :- AP=3, PB=6, AQ=4 and QC =8

To prove :- PQ || BC

Construction :- Join pts B and C

Proof :- In triangle ABC

AP/PB=AQ/QC

3/6=4/8

1/2 = 1/2

Therefore PQ || BC (Using Converse of Basic Proportionality Theorem)