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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-Y9-08NZC26-P4-MEA-MEA-K-Y9-09
Resources
- CorbettMaths — Showing a triangle is right-angled (video)
- CorbettMaths on Pythagoras' theoremQuestions PDF · Answers
Terminology
- Pythagorean triple
- primitive Pythagorean triple
- converse of Pythagoras' theorem
- scaling
- hypotenuse
- right-angled triangle
Task goals
- Test whether three whole numbers form a Pythagorean triple using the converse of Pythagoras' theorem, $a^2+b^2=c^2$.
- Complete a Pythagorean triple given two of its three side lengths.
- Generate a new Pythagorean triple by multiplying every side of a known triple by the same factor.
- Distinguish a primitive Pythagorean triple from a scaled (non-primitive) one by finding the common factor.
- Apply Pythagorean triples to word problems, justifying conclusions using the converse of the theorem.
Where this fits
What leads into this objective, and where it goes next.
You are here
Pythagorean triples
Do
Finding another Pythagorean triple from a given Pythagorean triple
Statement▸
Year 9 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y9-08
Know
If (a,b,c) is a Pythagorean triple, then so is (ka,kb,kc), where k is a positive integer.
Statement▸
Year 9 · Measurement · Measuring
NZC26-P4-MEA-MEA-K-Y9-09
Also under GM5-10:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.