An Obtuse Triangle Side

★ 6/10plane geometry trigonometry Law of Cosines Casework

Problem

Let $\triangle ABC$ be obtuse, with sides $a,b,c$ opposite the angles $A,B,C$ . Given $a=2$ , $b\sin A=\sqrt 3$ , and $c=3$ , find $b$ .

Answer

Solution

Difficulty	6/10
Topics	plane geometry, trigonometry, Law of Cosines, Casework

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