Geometry & MeasuresKey Facts

Key Facts

Part of 3D TrigonometryGCSE Mathematics

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. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 2 of 5 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 5

Practice

12 questions

Recall

2 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)

Keep building this topic

Read this section alongside the surrounding pages in 3D Trigonometry. That gives you the full topic sequence instead of a single isolated revision point.

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?

  • A. Calculate the 3D distance directly using one formula
  • B. Identify a right-angled triangle and apply SOHCAHTOA
  • C. Use the cosine rule only
  • D. Use the sine rule with the bearing angle
1 markfoundation

Describe the general method for finding the angle between a line and a plane in a 3D problem.

3 marksstandard

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

Want to test your knowledge?

PrepWise has 12 exam-style questions and 2 flashcards for 3D Trigonometry — with adaptive difficulty and instant feedback.

Join Alpha