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In triangle ABC the bisector of angle B intersects the side AC at D. A line parllel to AC intersects the line segments AB,DB,CB at points P,R,Q respectively. Then find AB*CQ

In triangle ABC the bisector of angle B intersects the side AC at D. A line parllel to AC intersects the line segments AB,DB,CB at points P,R,Q respectively. Then find AB*CQ

Grade:12

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Hello student,
Please find the answer to your question below
240-2052_Untitled.png
In triangle ABC, BD is the bisector of angle B
Also from Basic Proportionality theorem
(AB/BC)=(AP/CQ)
From cross multiplication we get
AB*CQ=AP*BC

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