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Adygea Teachers' Geometry Olympiad
2021 Adygea Teachers' Geometry Olympiad
2
2
Part of
2021 Adygea Teachers' Geometry Olympiad
Problems
(1)
isosceles ?, incircle excirle (2021 Adygea Teachers' Geometry Olympiad p2)
Source:
3/31/2021
In triangle
A
B
C
ABC
A
BC
, the incircle touches the side
A
C
AC
A
C
at point
B
1
B_1
B
1
and one excircle is touching the same side at point
B
2
B_2
B
2
. It is known that the segments
B
B
1
BB_1
B
B
1
and
B
B
2
BB_2
B
B
2
are equal. Is it true that
△
A
B
C
\vartriangle ABC
△
A
BC
is isosceles?
geometry
incircle
isosceles
excircle