Question

In A ABC, PQ is a line segment intersecting AB at P and AC at Q
such that seg PQ || seg BC. If PQ divides A ABC into two equal parts
then show bp/ab​

Answer 1

Answer:

In △ABC, PQ is a line segment  intersecting AB at P and AC at Q such that segPQ∥segBC. If PQ divides △ABC into two equal parts  means equal in area, find ABBP

ANSWER

Given: △ABC, PQ∥BC

In △APQ and △ABC

∠PAQ=∠BAC (Common angle)

∠APQ=∠ABC (Corresponding angles)

∠AQP=∠ACB (Corresponding angles)

Therefore, △APQ∼△ABC (AAA rule)

hence, A(△ABC)A(△APQ)=AB2AP2

21=AB2AP2

21−1=ABAP−1

21−2=ABAP−AB