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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
GM5-10
New NZC (2026)
NZC26-P4-MEA-MEA-P-Y10-10
Resources
Terminology
- Pythagoras' theorem
- hypotenuse
- right-angled triangle
- short side (leg)
- converse of Pythagoras' theorem
Task goals
- Use Pythagoras' theorem to find a missing hypotenuse (long side) in a right-angled triangle when both legs (short sides) are known.
- Use the inverse form of Pythagoras' theorem to find a missing leg when the hypotenuse and one leg are known.
- Apply the converse of Pythagoras' theorem to test whether three given side lengths form a right-angled triangle.
- Solve real-world problems (rectangles, ladders, fields, paths, poles) by identifying the hidden right-angled triangle and applying the correct Pythagoras move.
- Select the appropriate move (find hypotenuse, find leg, or check for right angle) based on what the problem asks.
Where this fits
What leads into this objective, and where it goes next.
You are here
Mixed revision of Pythagoras' theory
Do
Using Pythagoras' theorem to: find the length of an unknown side in a right-angled triangle; check if a triangle has a right angle; calculate the distance between two points in the coordinate plane, yielding the distance formula d = √((x2 − x1)^2 + (y2 − y1)^2)
Statement▸
Year 10 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y10-10
Also under GM5-10:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.