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2006 Austria Beginners' Competition
4
4
Part of
2006 Austria Beginners' Competition
Problems
(1)
isosceles if it has 2 equal excircles
Source: 2006 Austria Beginners' Competition p4
10/12/2022
Show that if a triangle has two excircles of the same size, then the triangle is isosceles.(Note: The excircle
A
B
C
ABC
A
BC
to the side
a
a
a
touches the extensions of the sides
A
B
AB
A
B
and
A
C
AC
A
C
and the side
B
C
BC
BC
.)
isosceles
excircle
excircles
equal circles
geometry