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angle a is acute
a<b
a<height
a<bsina
no solution
angle a is acute
a<b
a=height
a=bsina
1 solution
angle a is acute
a<b
a>height
a>bsina
2 solutions
angle a is acute
a>b
1 solution
angle a is obtuse
a<b
no solution
angle a is obtuse
a>b
1 solution
formula w 2 sides 1 angle
K=1/2bcsinA
formula w 1 side and all angles
K=1/2a²sinBsinC/sinA