Support · Mathematics Standard 11–12 – Year 11 · Applications of measurement
Support Apply Pythagoras’ theorem to solve problems involving right-angled triangles
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.
Prerequisite dot points
Apply the converse of Pythagoras’ theorem to establish whether a triangle is right angled
Stage 4 · Right-angled triangles (Pythagoras’ theorem) Draft mapping
- Corbettmaths practice questions: PythagorasUse it for: Free printable graded practice questions (with answers) on pythagoras for drill or a quick check.
- WorksheetDrillKuta free worksheet: Pythagoras' theorem and its converseUse it for: Printable skills-practice sheet with answer key on pythagoras' theorem and its converse; good for drill or homework.
- VideoStarterCorbettmaths video: Pythagoras: show triangle is right angleUse it for: Short worked-example video on pythagoras: show triangle is right angle to model the method before practice or for flipped revision.
Establish the relationship between the lengths of the sides of a right-angled triangle
Stage 4 · Right-angled triangles (Pythagoras’ theorem) Draft mapping
- Interactive toolStarterMathigon: Pythagoras' theorem (interactive course)Use it for: Interactive proof-and-practice chapter to discover and apply Pythagoras' theorem.
- Interactive toolEnrichmentMathigon: Triangles and TrigonometryUse it for: Interactive lessons building to Pythagoras and trig ratios.
Use the relationship to record and define Pythagoras’ theorem both algebraically and in words
Stage 4 · Right-angled triangles (Pythagoras’ theorem) Draft mapping
- Interactive toolStarterMathigon: Pythagoras' theorem (interactive course)Use it for: Interactive proof-and-practice chapter to discover and apply Pythagoras' theorem.
- Interactive toolStarterMaths Is Fun: Pythagoras' theoremUse it for: Explanation with an interactive proof.