Geometry Problem 1408: Right Triangle, Incircle, Excircle, Incenter, Midpoint, Tangency Point, Collinearity
Proposition
The figure below shows a right triangle ABC (angle B = 90 degree). The excircle E corresponding to BC is
tangent to BC at F. If I is the incenter and D is the midpoint of AB, prove that D,
I,
and F are collinear.
See also: Typography and poster of problem 1408.
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