MathsYears 10–11Geometry - Properties of Shapes

Sine and cosine rule

Apply the sine rule, cosine rule and area = 0.5ab sin C to non-right-angled triangles

What you'll learn

  1. 1

    Imagine a triangle that is not a right angle — like a slice of pizza that's been squashed! 🍕

  2. 2

    What kind of triangle do the sine and cosine rules work for?

  3. 3

    Let's use the sine rule to find a missing side. In triangle ABC, side a = 5 cm, angle A = 30°, angle B = 50°. Find side b.

  4. 4

    In the sine rule, which fraction is correct?

  5. 5

    The cosine rule is like a magic formula for triangles when you know two sides and the angle between them. 🪄

  6. 6

    Find side a in a triangle where b = 7 cm, c = 9 cm, and angle A = 60°.

  7. 7

    What is the cosine rule for side a?

  8. 8

    Which rule would you use to find side x? You know sides y and z, and the angle between them.

Practise Sine and cosine rule with Whizlo

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