Te reo Māori terms
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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-Y9-07NZC26-P4-MEA-MEA-K-Y9-08
Resources
- CorbettMaths on using Pythagoras’ theory to find sidesQuestions PDF · Answers
- Beta: Various from chapter 21
Terminology
- Pythagoras' theorem
- hypotenuse
- right-angled triangle
- diagonal
- isosceles triangle
- square root
Task goals
- Spot the right-angled triangle hidden in a shape (rectangle diagonal, isosceles triangle height) or a real-world situation (ladder, travel path, guy-wire) before applying the theorem.
- Find a missing hypotenuse or shorter side using $a^2+b^2=c^2$, choosing addition or subtraction correctly for the context.
- Round an answer to a stated number of decimal places when the lengths are not a perfect-square triple.
- Use a Pythagoras answer as the starting point for a second calculation, such as an area, a perimeter, or a comparison between two routes.
Where this fits
What leads into this objective, and where it goes next.
Before
Measurement applications: Pythagoras
Pythagoras' theory
Pythagoras theory finding short and long sides
You are here
Applying Pythagoras’ theory
Do
Proving Pythagoras' theorem (e.g. by rearranging four congruent right-angled triangles into a square)
Statement▸
Year 9 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y9-07
Know
For right-angled triangles, Pythagoras' theorem states that the square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides.
Statement▸
Year 9 · Measurement · Measuring
NZC26-P4-MEA-MEA-K-Y9-08
Also under GM5-10:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.