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Canada National Olympiad
1978 Canada National Olympiad
4
4
Part of
1978 Canada National Olympiad
Problems
(1)
Ratio of areas - triangle:quadrilateral
Source: Canadian Mathematical Olympiad - 1978 - Problem 4.
5/14/2011
The sides
A
D
AD
A
D
and
B
C
BC
BC
of a convex quadrilateral
A
B
C
D
ABCD
A
BC
D
are extended to meet at
E
E
E
. Let
H
H
H
and
G
G
G
be the midpoints of
B
D
BD
B
D
and
A
C
AC
A
C
, respectively. Find the ratio of the area of the triangle
E
H
G
EHG
E
H
G
to that of the quadrilateral
A
B
C
D
ABCD
A
BC
D
.
ratio
geometry
geometry proposed