Wednesday, December 12, 2018

Geometry Problem 1409: Right Triangle, Incircle, Excircle, Collinear Tangency Points, Collinearity

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

Details: Click on the figure below.

Geometry Problem 1409: Right Triangle, Incircle, Excircle, Collinear Tangency Points, Collinearity, Tutoring.
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2 comments:

  1. Sumith PeirisDecember 12, 2018 at 5:23 PM

    Tr.s BFG & DIC are congruent SAS following on from my proof of Problem 1407

    So < BFG = < DIC = < DFC (DCIF being concyclic) from which it’s clear that D, F, G are collinear points

    Sumith Peiris
    Moratuwa
    Sri Lanka

    ReplyDelete
  2. c.t.e.oDecember 13, 2018 at 7:29 AM

    P, Q, R tg points on AB, BC, AC
    DPGH isosceles trapezoid => ang BPQ = BFG = CDF = DFC

    ReplyDelete

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