Te reo Māori terms
click each term to open in Te AkaLearning objective overview
Master Teaching Guide coverage for this objective.
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.
Key skills
- Pythagorean triples
- Right triangles
Quick stats
- 81 total questions
- 3 difficulty levels
- Answers included
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.