multiplicity of triangles solvable purely with the law of sines
Post on 10-Apr-2015
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DESCRIPTION
A flowchart that is somewhat useful for learning how to handle the different cases encountered when solving a triangle allowed only the Law of Sines.
TRANSCRIPT
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
11
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
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