| Key Concept | What to Do |
|---|---|
| Space diagonal | Use Pythagoras twice: first on base, then on vertical triangle |
| Angle with base | Draw triangle with: height = opposite, base diagonal = adjacent |
| 3D Pythagoras | d² = x² + y² + z² (for space diagonal) |
This key facts covers Key Facts within 3D Trigonometry for GCSE Mathematics. Revise 3D Trigonometry in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 2 flashcards. Use this page as part of a wider topic revision path rather than treating it as an isolated fact. It is section 2 of 6 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
Practice questions for 3D Trigonometry
To find the angle between a line and a horizontal plane in a 3D problem, which technique is typically used?
Describe the general method for finding the angle between a line and a plane in a 3D problem.
Quick recall flashcards
Key Strategy for 3D Trig
Find the right-angled triangles hidden in the 3D shape. Often you need to find the BASE DIAGONAL first!
3D Pythagoras Formula
d² = x² + y² + z² for a space diagonal through a cuboid with dimensions x, y, z