Sunday, October 2, 2016

Geometry Problem 1271 Triangle, Incircle, Incenter, Excircle, Excenter, Escribed Circle, Tangency Points, Six Concyclic Points

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to view more details of problem 1271.


Geometry Problem 1271 Triangle, Incircle, Incenter, Excircle, Excenter, Escribed Circle, Tangency Points, Six Concyclic Points.

2 comments:

  1. This result is obvious as per Problem 1269 and 1270 since AC subtends 90 degree angles at each of the 4 points A1, C1, A2 and C2.

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  2. Problem 1271
    Is <AA_1C=90=<AC_1C=<AA_2C=<AC_2C.Therefore the points A,C_1,A_1,C,C_2 and A_2 are concyclic.
    APOSTOLIS MANOLOUDIS 4 HIGH SCHOOL KORYDALLOS PIRAEUS GREECE

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