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ABC is a triangle in which the vertical angle C is 60°. If the bisectors of the base angles A, B meet BC, AC in P, Q respectively, show that AB = AQ + BP. CONSTRUCTION: Take point R on AB so that AR and RQ. Let AP, BQ intersect in E. Join ER and PQ. Let QR inter- sect AE in D AQ. Join RP

ABC is a triangle in which the vertical angle C is 60°. If the bisectors of the base angles A, B meet BC, AC in P, Q respectively, show that AB = AQ + BP. CONSTRUCTION: Take point R on AB so that AR and RQ. Let AP, BQ intersect in E. Join ER and PQ. Let QR inter- sect AE in D AQ. Join RP

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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ABC is a triangle in which the vertical angle C is 60°. If the bisectors of the base angles A, B meet BC, AC in P, Q respectively, show that AB AQ + BP. CONSTRUCTION: Take point R on AB so that AR and RQ. Let AP, BQ intersect in E. Join ER and PQ. Let QR inter- sect AE in D AQ. Join RP
Transcribed Image Text:ABC is a triangle in which the vertical angle C is 60°. If the bisectors of the base angles A, B meet BC, AC in P, Q respectively, show that AB AQ + BP. CONSTRUCTION: Take point R on AB so that AR and RQ. Let AP, BQ intersect in E. Join ER and PQ. Let QR inter- sect AE in D AQ. Join RP
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