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Problems
Contests
International Contests
Baltic Way
2015 Baltic Way
13
13
Part of
2015 Baltic Way
Problems
(1)
Geometry
Source: Baltic Way 2015
11/8/2015
Let
D
D
D
be the footpoint of the altitude from
B
B
B
in the triangle
A
B
C
ABC
A
BC
, where
A
B
=
1
AB=1
A
B
=
1
. The incircle of triangle
B
C
D
BCD
BC
D
coincides with the centroid of triangle
A
B
C
ABC
A
BC
. Find the lengths of
A
C
AC
A
C
and
B
C
BC
BC
.
geometry