Law of Sines

SAA/AAS2 Angles, 1 Side

ASA2 Angles, 1 Shared Side

SASCannot be solved w/LOSSSA/ASS

The Ambiguous Case

11

00G

eometric Theorem

s

A < 90Acute

A = 90Equal

A > 90Obtuse

a < h a = h a > h

Comparison of length a to height h

What type of angle is the supplied angle?

00 11 22

a > ba <= b

00 11

a < ba >= b

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Where 2R = twice the radius of the circle in which the triangle is inscribed

Multiplicity of TrianglesSolvable Purely with the Law of Sines

Law of Sines

In a triangle, the ratio of the sine of any angle to the length of the side opposite it is equal across all three angles.

OR