Connect the ideas
Identify a right angle and the opposite hypotenuse first.
The equation compares square areas, not a sum of side lengths.
Add leg squares for a hypotenuse; subtract from its square for a leg.
Use consistent units and take a positive root for a length.
Keep exact roots or round only at the final step.
Use the converse carefully, and distinguish a final height from a change in height.
Topic test
Complete each paper and show your working.
Pythagoras’ theorem — topic test
15 questions · 37 marks · 45 minutes · By hand