The Law of Sines

The [i]law of sines[/i] (or sine rule) relates the lengths of a triangle's sides to the sines of its angles.[br][br]The applet below lets you discover this useful law ([i]Theorem[/i]), learn how it is derived ([i]Proof[/i]) and interact with a dynamic triangle ([i]Explore![/i]) to deepen your understanding of this concept.
Solving a triangle means finding missing sides and angles - Let's solve one.
Solve the given triangle, with [math]a=24[/math], [math]\beta=60°[/math] and [math]\gamma=45°[/math]. [br]
To be or not to be....
Use the Law of Sines to show whether a triangle with:[br][math]a=18[/math], [math]b=36[/math] and [math]\alpha=45°[/math] does exist or not.[br][br]Explain you reasoning below.
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– Simona Riva

Information: The Law of Sines