Problem 159.
Distances from the Circumcenter to
the Incenter and the Excenters
In the figure below, ABC is a triangle
inscribed in a circle of center O (circumcenter), I is the
incenter and
E1, E2, E3 are the excenters relatives to the sides BC,
AC, and AB respectively. If R, is the circumradius, d = OI, d1
= OE1,
d2
= OE2,
and d3
= OE3, prove that
.
Post a comment or solution.
.
