MathDB
Problems
Contests
Undergraduate contests
Putnam
1970 Putnam
B6
B6
Part of
1970 Putnam
Problems
(1)
Putnam 1970 B6
Source: Putnam 1970
5/17/2022
Show that if a circumscribable quadrilateral of sides
a
,
b
,
c
,
d
a,b,c,d
a
,
b
,
c
,
d
has area
A
=
a
b
c
d
,
A= \sqrt{abcd},
A
=
ab
c
d
ā
,
then it is also inscribable.
Putnam
geometry
area
quadrilateral