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Tournament Of Towns
1988 Tournament Of Towns
(165) 2
(165) 2
Part of
1988 Tournament Of Towns
Problems
(1)
TOT 165 1988 Spring Train J2 equal areas of triangles
Source:
5/9/2020
We are given convex quadrilateral
A
B
C
D
ABCD
A
BC
D
. The midpoints of
B
C
BC
BC
and
D
A
DA
D
A
are
M
M
M
and
N
N
N
respectively. The diagonal
A
C
AC
A
C
divides
M
N
MN
MN
in half. Prove that the areas of triangles
A
B
C
ABC
A
BC
and
A
C
D
ACD
A
C
D
are equal .
geometry
areas
midpoint
equal areas