Problem 213. Triangle, Incircle, Inradius, Semicircles, Common Tangents
In the figure below, the circle O of
radius r is tangent to the sides of triangle ABC at D, E, and F.
If d, e, and f are the common tangents to the semicircles of
diameter AD, DB, BE, EC, CF, and FA, prove that:
. Post
a
comment.