Specifying two sides and the angle between them uniquely (up to geometric congruence) determines a triangle. Let be the base length and be the height. Then the area is
(1)
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The length of the third side is given by the law of cosines,
(2)
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so
(3)
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Using the law of sines
(4)
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then gives the two other angles as
(5)
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(6)
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