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Sharygin Geometry Olympiad
2010 Sharygin Geometry Olympiad
9
9
Part of
2010 Sharygin Geometry Olympiad
Problems
(1)
Find all possible values of number of good points (9)
Source:
10/29/2010
A point inside a triangle is called "good" if three cevians passing through it are equal. Assume for an isosceles triangle
A
B
C
(
A
B
=
B
C
)
ABC \ (AB=BC)
A
BC
(
A
B
=
BC
)
the total number of "good" points is odd. Find all possible values of this number.
geometry proposed
geometry