Law of Sines and Cosines
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10 Terms
Law of Sines
SinA/a = SinB/b = SinC/c
Law of Cosines
a² = b² + c² -2bccosA, b² = a² + c² -2accosB, c² = b² + a² -2bacosC
Area of a Triangle
1/2absinC, 1/2acsinB, 1/2bcsinA
Height of a triangle (h)
bSinA (angle and adjacent side)
I know there will be an Ambiguous Case when
The opposite side is less than the given side length.
One Triangle
One side is greater than the height and greater than the other side.
One Right Triangle
The side equals the height and is just the right length to form a right triangle.
No Triangle
The side is less than the height and is not long enough to form a triangle.
Two triangles
The side is greater than the height and less than the other side. Two distinct triangles are formed.