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International Contests
Tournament Of Towns
1992 Tournament Of Towns
(321) 2
(321) 2
Part of
1992 Tournament Of Towns
Problems
(1)
TOT 321 1992 Spring O J2 isosceles trapezoid wanteed
Source:
6/9/2024
In trapezoid
A
B
C
D
ABCD
A
BC
D
the sides
B
C
BC
BC
and
A
D
AD
A
D
are parallel,
A
C
=
B
C
+
A
D
AC = BC + AD
A
C
=
BC
+
A
D
, and the angle between the diagonals is equal to
6
0
o
60^o
6
0
o
. Prove that
A
B
=
C
D
AB = CD
A
B
=
C
D
.(Stanislav Smirnov, St Petersburg)
geometry
trapezoid
Isosceles Trapezoid