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Sharygin Geometry Olympiad
2012 Sharygin Geometry Olympiad
9
9
Part of
2012 Sharygin Geometry Olympiad
Problems
(1)
Restore triangle
Source: Sharygin Geometry Olympiad 2012 - Problem 9
4/28/2012
In triangle
A
B
C
ABC
A
BC
, given lines
l
b
l_{b}
l
b
and
l
c
l_{c}
l
c
containing the bisectors of angles
B
B
B
and
C
C
C
, and the foot
L
1
L_{1}
L
1
of the bisector of angle
A
A
A
. Restore triangle
A
B
C
ABC
A
BC
.
geometry
geometric transformation
reflection
geometry unsolved