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1980 All Soviet Union Mathematical Olympiad
289
289
Part of
1980 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 289 All Soviet Union MO 1980 chord that maximise the area of ABCD
Source:
7/19/2019
Given a point
E
E
E
on the diameter
A
C
AC
A
C
of the certain circle. Draw a chord
B
D
BD
B
D
to maximise the area of the quadrangle
A
B
C
D
ABCD
A
BC
D
.
geometry
chord
maximum
circle
areas