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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
GM6-6
New NZC (2026)
NZC26-P4-MEA-MEA-P-Y10-10
Resources
Terminology
- Pythagoras' theorem (a² + b² = c²)
- hypotenuse
- right angle
- perpendicular (height or diagonal)
- intermediate step
- perimeter
- area
Task goals
- Apply Pythagoras' theorem to find an unknown intermediate length
- Use the calculated intermediate value in a second step
- Show two or more equations clearly
- Distinguish between exact answers and rounded decimal answers
- Solve multi-step problems involving rectangles, squares, triangles, and ladders
- Recognize when finding a hidden dimension is the first step toward the real target
Where this fits
What leads into this objective, and where it goes next.
You are here
Multi-step 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 GM6-6:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.