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Stage 5 · Trigonometry C (Path) · Solve 3-dimensional problems involving right-angled triangles · Topic: Pythagoras & trigonometry · Year 9, 10

Apply Pythagoras’ theorem to solve problems involving the lengths of the edges and diagonals of rectangular prisms and other 3-dimensional objects

Dot point ID k-10-2022-stage-5-trigonometry-c-path/trc-sdi-stg5-01 · NESA code MA_K_10_CP_TRC_SDI_STG5_01 · See it on the NSW Curriculum website ↗

↩SupportBuild the prerequisite skills first · 5 resources★EnrichExtension & rich tasks · 1 resource
Outcomes for this focus area (MA5-TRG-P-01)
MA5-TRG-P-01 applies Pythagoras’ theorem and trigonometry to solve 3-dimensional problems and applies the sine, cosine and area rules to solve 2-dimensional problems, including bearings (Path: Stn, Adv)

Core resources for this dot point

On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.

Interactive tool

  • Interactive toolStarter
    Maths Is Fun: Pythagoras in 3D
    Maths Is Fun · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Clear worked explanation of Pythagoras in 3D with questions at the end.

Worksheet

Video

  • VideoStarter
    Corbettmaths video: Pythagoras: 3D
    Corbettmaths · Video · Free · Link checked 2026-10-15 · No prep
    Use it for: Short worked-example video on pythagoras: 3d to model the method before practice or for flipped revision.

Focus area resources

Checked resources for Trigonometry C (Path) as a whole (not mapped to a single dot point).

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