Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.
Click the figure below to see the complete problem 631.
Wednesday, July 6, 2011
Problem 631: Triangle, Exterior Angle Bisectors, Collinear Points
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Since BB’, AA’ and C’C are external angle bisectors so
ReplyDeleteWe 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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