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
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 11CR
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0feac8dc-2b65-4c46-868a-03ceb7cf437c%2Fa9a383a4-c148-4c7d-9ba0-bb8d5820d653%2Fk78v8qh_processed.jpeg&w=3840&q=75)
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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