Pythagoras' theorem, made clear — Years 8 to 10
Pythagoras' theorem is one of the most useful (and most testable) ideas in school maths. With a clear diagram and a reliable method, it is also one of the most learnable.
Free for 7 days, then $25/month.
Understanding pythagoras' theorem
The theorem itself is simple — in a right-angled triangle, a² + b² = c² — but students trip on which side is the hypotenuse and when to add versus subtract. Claritute settles that with clear, labelled diagrams every time.
Lessons build from the rule to finding the hypotenuse, finding a shorter side, and solving real-world problems, then connect forward to trigonometry. Aligned to the NSW Stage 4–5 outcomes for right-angled triangles.
What you’ll learn
15 Claritute lessons cover pythagoras' theorem across Years 8–10 — each one visual and step-by-step.
The right angle and the hypotenuse
Finding the hypotenuse
Finding a shorter side
Real-world Pythagoras problems
The link to trigonometry
Why families choose Claritute
Find the missing block — fast
A short diagnostic pinpoints exactly which earlier skill is causing the trouble, then builds the plan around it. Foundations first; confidence follows.
Then it’s their turn — every time
Every concept is drawn, not described — 800+ original diagrams — and each worked example hands the pen back with a matching question and a self-check.
Built and taught by Angelo Hanna
Every lesson is written, checked and taught by a registered NSW teacher and mapped to the NSW K–10 syllabus — so home lines up with school. Not scraped, not outsourced.
Where to go next
Frequently asked questions
When is Pythagoras' theorem taught in NSW?
It is introduced in Stage 4 (around Year 8) and revisited and extended in Stage 5 (Years 9–10), where it sits alongside trigonometry. Claritute covers it at both stages.
My child knows the formula but gets the wrong answer. Why?
Almost always it is the hypotenuse — using a² + b² = c² to find a shorter side needs subtraction, not addition. Claritute's diagram-led method makes which-side-is-which obvious, which removes the most common error.
Do you cover trigonometry too?
Yes — trigonometry is its own set of lessons and follows naturally from Pythagoras. See the trigonometry topic or the Years 9–10 page.