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Swedish Mathematical Competition
2003 Swedish Mathematical Competition
5
5
Part of
2003 Swedish Mathematical Competition
Problems
(1)
no of quadrilaterals ANCD if AB = a,BC = CD = DA = b, <B = 90^o
Source: 2003 Swedish Mathematical Competition p5
3/21/2021
Given two positive numbers
a
,
b
a, b
a
,
b
, how many non-congruent plane quadrilaterals are there such that
A
B
=
a
AB = a
A
B
=
a
,
B
C
=
C
D
=
D
A
=
b
BC = CD = DA = b
BC
=
C
D
=
D
A
=
b
and
∠
B
=
9
0
o
\angle B = 90^o
∠
B
=
9
0
o
?
geometry
equal segments