Support · Mathematics Standard 11–12 – Year 12 – Standard 1 · Right-angled triangles

Support Apply Pythagoras’ theorem to solve practical problems in two dimensions

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.

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Prerequisite dot points

Apply Pythagoras’ theorem to solve problems involving right-angled triangles

Mathematics Standard 11–12 – Year 11 · Applications of measurement Draft mapping

  • Corbettmaths practice questions: Pythagoras
    Corbettmaths · Web page · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Free printable graded practice questions (with answers) on pythagoras for drill or a quick check.
  • VideoStarter
    Corbettmaths video: Pythagoras
    Corbettmaths · Video · Free · Link checked 2026-10-15 · No prep
    Use it for: Short worked-example video on pythagoras to model the method before practice or for flipped revision.

Solve a variety of practical problems involving trigonometric ratios in right-angled triangles

Stage 5 · Trigonometry A Draft mapping

  • WorksheetDrill
    Kuta free worksheet: Solving right triangles
    Kuta Software · PDF · Printable PDF · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Printable skills-practice sheet with answer key on solving right triangles; good for drill or homework.

Identify the sine, cosine and tangent ratios in a right-angled triangle

Stage 5 · Trigonometry A Draft mapping

  • Interactive toolEnrichment
    Mathigon: Triangles and Trigonometry
    Mathigon (Amplify) · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
    Use it for: Interactive lessons building to Pythagoras and trig ratios.
  • Interactive toolStarter
    Mathsisfun: Sine, cosine, tangent
    Maths Is Fun · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Drag a triangle to see ratios stay constant.
  • WorksheetDrill
    Kuta free worksheet: Finding trig ratios
    Kuta Software · PDF · Printable PDF · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Printable skills-practice sheet with answer key on finding trig ratios; good for drill or homework.
  • WorksheetDrill
    Kuta free worksheet: Trig ratios
    Kuta Software · PDF · Printable PDF · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Printable skills-practice sheet with answer key on trig ratios; good for drill or homework.