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Contests
International Contests
Tournament Of Towns
1994 Tournament Of Towns
(437) 3
(437) 3
Part of
1994 Tournament Of Towns
Problems
(1)
<XOY =? median AD = AC - AB
Source: TOT 437 1994 Autumn A S3 - Tournament of Towns
6/12/2024
The median
A
D
AD
A
D
of triangle
A
B
C
ABC
A
BC
intersects its inscribed circle (with center
O
O
O
) at the points
X
X
X
and
Y
Y
Y
. Find the angle
X
O
Y
XOY
XO
Y
if
A
C
=
A
B
+
A
D
AC = AB + AD
A
C
=
A
B
+
A
D
. (A Fedotov)
geometry
median
angles