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Problems
Contests
National and Regional Contests
India Contests
India National Olympiad
1994 India National Olympiad
5
5
Part of
1994 India National Olympiad
Problems
(1)
Find another area!
Source: INMO 1994 Problem 5
10/6/2005
A circle passes through the vertex of a rectangle
A
B
C
D
ABCD
A
BC
D
and touches its sides
A
B
AB
A
B
and
A
D
AD
A
D
at
M
M
M
and
N
N
N
respectively. If the distance from
C
C
C
to the line segment
M
N
MN
MN
is equal to
5
5
5
units, find the area of rectangle
A
B
C
D
ABCD
A
BC
D
.
geometry
rectangle
geometry solved