The Cosine Rule (VCE SSCE General Mathematics): Quizzes

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The Cosine Rule
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Which type of triangle can the cosine rule be used with?

Any triangle

When you know two sides and the included angle, what can you find using the cosine rule?

The third side

Which formula finds side cc when you know sides aa, bb and angle CC?

c2=a2+b22abcosCc^2 = a^2 + b^2 - 2ab \cos C

Which formula finds angle AA when you know all three sides aa, bb, and cc?

cosA=b2+c2a22bc\cos A = \frac{b^2 + c^2 - a^2}{2bc}

What happens to the cosine rule when the angle is 90°90°?

It becomes Pythagoras' theorem

In a triangle with sides 44, 77, and 99, which side is opposite the largest angle?

Side 99

What does a negative value for cosA\cos A indicate about angle AA?

AA is obtuse (between 90°90° & 180°180°)

How should bearings be written?

As three-figure numbers (e.g., 037°037°)

What calculator mode should be used when finding angles with the cosine rule?

DEGREE mode

What is the SAS configuration?

Two sides and the included angle

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