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2012 India National Olympiad
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1
Part of
2012 India National Olympiad
Problems
(1)
Find max area of quadrilateral
Source: Indian National Mathematical Olympiad 2012 Question 1
2/5/2012
Let
A
B
C
D
ABCD
A
BC
D
be a quadrilateral inscribed in a circle. Suppose
A
B
=
2
+
2
AB=\sqrt{2+\sqrt{2}}
A
B
=
2
+
2
and
A
B
AB
A
B
subtends
135
135
135
degrees at center of circle . Find the maximum possible area of
A
B
C
D
ABCD
A
BC
D
.
geometry
inequalities
trigonometry
function
circumcircle
topology
geometry proposed