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1987 IMO Longlists
31
Construct a triangle
Construct a triangle
Source:
September 5, 2010
geometry
circumcircle
geometry unsolved
Problem Statement
Construct a triangle
A
B
C
ABC
A
BC
given its side
a
=
B
C
a = BC
a
=
BC
, its circumradius
R
(
2
R
≥
a
)
R \ (2R \geq a)
R
(
2
R
≥
a
)
, and the difference
1
k
=
1
c
−
1
b
\frac{1}{k} = \frac{1}{c}-\frac{1}{b}
k
1
=
c
1
−
b
1
, where
c
=
A
B
c = AB
c
=
A
B
and
b
=
A
C
.
b = AC.
b
=
A
C
.
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