SSS Theorem
Specifying three sides uniquely determines a
Triangle
whose
Area
is given by
Heron's Formula
,
(1)
where
(2)
is the
Semiperimeter
of the
Triangle
. Let
be the
Circumradius
, then
(3)
Using the
Law of Cosines
(4)
(5)
(6)
gives the three
Angles
as
(7)
(8)
(9)
See also
AAA Theorem
,
AAS Theorem
,
ASA Theorem
,
ASS Theorem
,
Heron's Formula
,
SAS Theorem
,
Semiperimeter
,
Triangle
© 1996-9
Eric W. Weisstein
1999-05-26