MathDB
Problems
Contests
International Contests
IMO Longlists
1984 IMO Longlists
19
19
Part of
1984 IMO Longlists
Problems
(1)
Minimum of a function in isosceles triangle.
Source:
10/9/2010
Let
A
B
C
ABC
A
BC
be an isosceles triangle with right angle at point
A
A
A
. Find the minimum of the function
F
F
F
given by
F
(
M
)
=
B
M
+
C
M
−
3
A
M
F(M) = BM +CM-\sqrt{3}AM
F
(
M
)
=
BM
+
CM
−
3
A
M
function
inequalities unsolved
inequalities