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Problem 10.5 Let P and Q be points on the side AB of the triangle ABC (with P between A and Q) such that ZACP = ZQCB, and let AD be the angle bisector of ZBAC. Line AD meets lines CP and CQ at M andN respectively. Given that PN = CD and 3ZBAC = 2ZBCA, prove that triangles CQD and QNB have ZPCQ the same area.

Problem 10.5 Let P and Q be points on the side AB of the triangle ABC (with P between A and Q) such that ZACP = ZQCB, and let AD be the angle bisector of ZBAC. Line AD meets lines CP and CQ at M andN respectively. Given that PN = CD and 3ZBAC = 2ZBCA, prove that triangles CQD and QNB have ZPCQ the same area.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Let P and Q be points on the side AB of the triangle ZPCQ = ZQCB, and let AD be the angle bisector of ZBAC. Line AD meets lines CP and CQ at M andN respectively. Given that PN = CD 2ZBC A, prove that triangles CQD and QNB have Problem 10.5 ABC (with P between A and Q) such that ZACP = and 3ZBAC the same area.
Transcribed Image Text:Let P and Q be points on the side AB of the triangle ZPCQ = ZQCB, and let AD be the angle bisector of ZBAC. Line AD meets lines CP and CQ at M andN respectively. Given that PN = CD 2ZBC A, prove that triangles CQD and QNB have Problem 10.5 ABC (with P between A and Q) such that ZACP = and 3ZBAC the same area.
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