The cosine rule (AQA GCSE Further Maths): Quizzes

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The cosine rule
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When is the cosine rule particularly useful?

When you know two sides & included angle

Which formula finds a side length using the cosine rule?

a2=b2+c2−2bccos⁡Aa^2 = b^2 + c^2 - 2bc \cos A

Which formula finds an angle using the cosine rule?

cos⁡A=b2+c2−a22bc\cos A = \frac{b^2 + c^2 - a^2}{2bc}

What does SAS stand for in the context of the cosine rule?

Side-Angle-Side

What does SSS stand for in triangle problems?

Side-Side-Side

What memory aid helps choose the right cosine rule formula?

"SAS for sides, SSS for angles"

In standard triangle notation, what do aa, bb, cc represent?

Lengths of the sides

What is an alternative form of the cosine rule for finding side bb?

b2=a2+c2−2accos⁡Bb^2 = a^2 + c^2 - 2ac \cos B

How can the cosine rule be thought of conceptually?

Pythagoras with a correction term

What common mistake occurs when finding a side length?

Forgetting to square root the result

What does a negative cosine value indicate when finding an angle?

An obtuse angle (>90°)

In triangle ABC with AC = 8, BC = 9, angle C = 37°, what is c2c^2 before square rooting?

29.996

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