Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
GM5-10GM5-4
New NZC (2026)
NZC26-P4-MEA-MEA-P-Y10-10
Resources
- CorbettMaths on using Pythagoras' theory to find sidesQuestions PDF · Answers
- CorbettMaths worksheet on perimeterQuestions PDF · Answers
Terminology
- Pythagoras' theorem (a² + b² = c²)
- hypotenuse
- perimeter
- compound shape
- right angle
- intermediate length
- sloped edge
Task goals
- Apply Pythagoras' theorem to find a missing edge in a compound shape
- Calculate the perimeter by adding all sides together
- Work with squares, rectangles, triangles, and parallelograms
- Show working clearly in two steps (find the missing length, then the perimeter)
- Use exact answers or round to 1 decimal place as required
Where this fits
What leads into this objective, and where it goes next.
Before
Measurement applications: integrated projects
Map Scales and Scale Drawings
Symmetry and Similarity of Shapes
You are here
Perimeter of compound shapes using 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:
- Pythagoras theory finding short and long sides
- Pythagoras' theory
- Applying Pythagoras’ theory
- Mixed revision of Pythagoras' theory
Also under GM5-4:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.