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4.02 Sine rule and the ambiguous case

Interactive practice questions

Consider a triangle where all three sides are known, but no angles are known. Is there enough information to find all the angles in the triangle using only the sine rule?

A triangle with sides labeled as a, b, and c.

No

A

Yes

B
Easy
< 1min

Consider a triangle where two of the angles and the side included between them are known. Is there enough information to solve for the remaining sides and angle using just the sine rule?

Easy
< 1min

Consider a triangle where two of the angles and a side not included between them are known. Is there enough information to solve for the remaining sides and angle using just the sine rule?

Easy
< 1min

Consider a triangle where two of the sides and an angle included between them are known. Is there enough information to solve for the remaining side and angles using just the sine rule?

Easy
< 1min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

MA11-3

uses the concepts and techniques of trigonometry in the solution of equations and problems involving geometric shapes

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