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Law of cosines
pythagorean theorem, finding sides in a triangle, finding angles in a triangle
The law of cosnies extends the use of the Pythagorean theorem. It enables us to find the length of the opposite side of a known angle when any enclosed angle is known. It also enables us to find unknown angles when three sides are known.
It reads as follows:
a
2 = b
2 + c
2 - 2bc cos a
Similiarly, we may substitute sides and angles to complete the law to read:
b
2 = a
2 + c
2 - 2ac cos b
and
c
2 = a
2 + b
- 2ab cos c
pythagorean theorem, finding sides in a triangle, finding angles in a triangle
