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
icon
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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,