Stage 5 · Trigonometry C (Path) · Apply the sine, cosine and area rules to any triangle and solve related problems · Topic: Pythagoras & trigonometry · Year 9, 10
Apply the formula A = 1/2absinC, where a and b are the sides that form angle C to find the area of a given triangle ABC
Dot point ID k-10-2022-stage-5-trigonometry-c-path/trc-sie-stg5-08 · NESA code MA_K_10_CP_TRC_SIE_STG5_08 · See it on the NSW Curriculum website ↗
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 toolStarterMaths Is Fun: Area of a triangle (½ab sin C)Use it for: Area rule for non-right triangles.
Worksheet
- Corbettmaths practice questions: Trigonometry: sine rule (sides)Use it for: Free printable graded practice questions (with answers) on trigonometry: sine rule (sides) for drill or a quick check.
- WorksheetDrillKuta free worksheet: Trigonometry and areaUse it for: Printable skills-practice sheet with answer key on trigonometry and area; good for drill or homework.
Video
- VideoStarterCorbettmaths video: Trigonometry: area of a triangleUse it for: Short worked-example video on trigonometry: area of a triangle 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).
- Unit/PlanningStage 5 Unit 9 – surveying (sample unit of learning)