Geometry Problem 27: Right triangle, Altitude, Incenters, Inradius,
Perpendicular Lines, 45 Degrees.
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In triangle ABC,
angle B is a right angle. O is the
incenter of triangle ABC,
From O parallels FG and HM are drawn to AB, and BC. r1,
and r2, are the
inradii of the triangles AHM, and
FGC respectively, the points D and E are points of tangency. Prove that
.
See also:
Artwork
of Problem
27.
