Geometry Problem. Post your solution in the comment box below.

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

Details: Click on the figure below.

## Wednesday, December 12, 2018

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

Labels:
collinear,
excircle,
geometry problem,
incircle,
right triangle,
tangency point

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

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

Sumith Peiris

Moratuwa

Sri Lanka

P, Q, R tg points on AB, BC, AC

ReplyDeleteDPGH isosceles trapezoid => ang BPQ = BFG = CDF = DFC