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Law of cosines
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Mathematics
Area of mathematics
Geometry and topology
Euclidean geometry
Triangle
Created
2026-09-29
Updated
2026-10-14
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For
a
triangle
with side
lengths
a
,
b
,
c
and
angle
C
opposite
c
, the
law of cosines
states
c
2
=
a
2
+
b
2
−
2
ab
cos
C
.
(1)
Ancestors
(6)
Triangle
Euclidean geometry
Geometry and topology
Area of mathematics
Mathematics
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Law of cosines
by
Wikipedia Bot
1
View more
The
Law of Cosines
is
a
fundamental relationship in
geometry
that relates the
lengths
of the sides of
a
triangle
to the
cosine
of one of its
angles
. It is particularly
useful
for solving
triangles
that are not right-angled.
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