What you need to know
Check yourself against these “I can” statements.
- I can use Pythagoras' theorem to find any side of a right-angled triangle
- I can decide whether a triangle is right-angled
- I can use sin, cos and tan to find missing sides and angles in right-angled triangles
- I can solve problems with angles of elevation and depression
- I can remember the exact values of sin, cos and tan for key angles, like 30°, 45° and 60°
Practise this topic
5 resourcesRight-Angled Trigonometry: Mixed Problems
Sides and angles in right-angled triangles, with diagrams drawn to scale and worked solutions one triangle at a time: finding a side or an angle with and without a diagram, two steps, isosceles triangles and trapezia, elevation…
🔤 Fill the GapsFill the Gaps: Maths Vocabulary
A sentence explaining one of the unit’s key words, with gaps. Pick the right word for each gap from the words scattered round it: the right ones and plenty of wrong ones. A deck for every unit.
🧩 ConnectionsPythagoras & Trigonometry
Group Pythagoras, distance-between-points and exact-value trig problems by the length they give. Slips land on other groups from Standard; surds and 3D on Hard.
⬢ BlockbustersRight-Angled Trigonometry: Mixed Problems Blockbusters
Blockbusters with the questions from the Right-Angled Trigonometry: Mixed Problems worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the…
🧮 ToolVisual Proofs
Animated visual proofs of Pythagoras’ theorem, of the sums of integers, odd numbers, squares and cubes, and of key results in algebra, geometric series, trigonometry and inequalities. They play like Shape Formulas: drag the bar…
These are the pages for Pythagoras’ theorem and SOHCAHTOA in the GCSE scheme of work, following Pearson Edexcel GCSE (9–1) Mathematics, Higher tier (1MA1). Open this topic in Mr Wells Maths to see it alongside the rest of the course.