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.
Key Facts
| 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) |
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