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.

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

Posted by Antonio Gutierrez at 7:30 AM
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2 comments:

  1. Sumith PeirisOctober 2, 2016 at 8:09 AM

    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. APOSTOLIS MANOLOUDISOctober 2, 2016 at 8:28 AM

    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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