Pythagoras & Trigonometry

Pythagoras' theorem, SOHCAHTOA, the sine and cosine rules, the area rule, bearings and 3D problems.

Right-angled and non-right triangles both appear on the Higher paper, along with bearings and 3D shapes.

Pythagoras' theorem

In a right-angled triangle, $a^2 + b^2 = c^2$ where $c$ is the hypotenuse (the longest side, opposite the right angle).

Find the hypotenuse: c² = 6² + 8² = 100, so c = 10.

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