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10 cards from this deck
asinA=bsinB=csinC\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}sinAa=sinBb=sinCc
Two angles + one side OR two sides + non-included angle
A=12absinCA = \frac{1}{2}ab \sin CA=21absinC
SSA config gives two possible angles (acute & obtuse)
sin(180°−θ)=sinθ\sin(180° - \theta) = \sin \thetasin(180°−θ)=sinθ
bsinA≤a<bb \sin A \leq a < bbsinA≤a<b
c2=a2+b2−2abcosCc^2 = a^2 + b^2 - 2ab \cos Cc2=a2+b2−2abcosC
cosC=a2+b2−c22ab\cos C = \frac{a^2 + b^2 - c^2}{2ab}cosC=2aba2+b2−c2
Two sides + included angle (SAS) OR three sides (SSS)
No ambiguous case
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