Wednesday, July 6, 2011

Problem 631: Triangle, Exterior Angle Bisectors, Collinear Points

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 631.

Online Geometry Problem 631: Triangle, Exterior Angle Bisectors, Collinear Points.

2 comments:

  1. Since BB’, AA’ and C’C are external angle bisectors so
    We have B’C/B’A= a/c
    C’A/C’B=b/a
    And A’B/A’C=c/b
    And (B’A).(C’A/C’B).(A’B/A’C)=a/c.b/a.c/b= 1
    So C’, A’ and B’ are collinear per Menelaus theorem
    Peter Tran

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