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circumradius of MIN is twice that of ABC

Source: Indian Postal Coaching 2007 set 3 p4

May 25, 2020

geometrycircumradiuscircumcircleangle bisector

Problem Statement

Let

BE

and

CF

be the bisectors of

\angle B

and

\angle C

of a triangle

ABC

whose incentre is

I

. Suppose

EF

, extended, meets the circumcircle of

ABC

in

M,N

. Show that the circumradius of

MIN

is twice that of

ABC

.

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