MathDB
Problems
Contests
National and Regional Contests
Japan Contests
Japan MO Finals
1994 Japan MO Finals
4
4
Part of
1994 Japan MO Finals
Problems
(1)
Geometry
Source:
9/20/2005
In a triangle
A
B
C
ABC
A
BC
,
M
M
M
is the midpoint of
B
C
BC
BC
. Given that
∠
M
A
C
=
1
5
∘
\angle MAC=15^{\circ}
∠
M
A
C
=
1
5
∘
, find the maximum possible value of
∠
A
B
C
\angle ABC
∠
A
BC
.
geometry
circumcircle
trigonometry
power of a point