MathsYears 10–11Geometry - Properties of Shapes

Trigonometry (SOH CAH TOA)

Use sine, cosine and tangent ratios to find missing sides and angles in right-angled triangles

What you'll learn

  1. 1

    Imagine a ladder leaning against a wall. The ladder is the longest side — we call it the hypotenuse.

  2. 2

    In a right-angled triangle, which side is always the longest?

  3. 3

    Here's a right-angled triangle. The angle is marked with θ. Can you see the three sides?

  4. 4

    SOH CAH TOA helps us remember which ratio to use. SOH means Sine = Opposite ÷ Hypotenuse.

  5. 5

    Let's find the missing side in this triangle using SOH CAH TOA.

  6. 6

    Drag the labels to match the sides of this triangle with SOH CAH TOA.

  7. 7

    Which ratio would you use if you know the opposite and hypotenuse?

  8. 8

    In a right-angled triangle with angle 30°, opposite side = 3 cm, what is the hypotenuse? (Use sin 30° = 0.5)

Practise Trigonometry (SOH CAH TOA) with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 14–16. Aligned to the UK National Curriculum.