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Baltic Way
2007 Baltic Way
15
15
Part of
2007 Baltic Way
Problems
(1)
Determine the ratio AD/DC
Source: Baltic Way 2007
11/30/2010
The incircle of the triangle
A
B
C
ABC
A
BC
touches the side
A
C
AC
A
C
at the point
D
D
D
. Another circle passes through
D
D
D
and touches the rays
B
C
BC
BC
and
B
A
BA
B
A
, the latter at the point
A
A
A
. Determine the ratio
A
D
D
C
\frac{AD}{DC}
D
C
A
D
.
ratio
geometry
geometry proposed