What you’ll learn6 learning objectivesChoose one objective for a focused lesson, or study the complete topic.—SL 3.1—Three-dimensional geometry• Use distance and midpoint in three-dimensional space.• Use volume and surface area of 3D solids and combinations.• Identify right-angled triangles in 3D objects to find lengths and angles.Syllabus objective—SL 3.2—Triangle trigonometry• Use sine, cosine and tangent in right-angled triangles.• Use sine rule, cosine rule and area formula 1/2 ab sin C.• Ambiguous sine-rule case is not included at SL.Syllabus objective—SL 3.3—Applications of trigonometry• Apply right and non-right triangle trigonometry, including Pythagoras' theorem.• Use elevation/depression, bearings and labelled diagrams from written statements.Syllabus objective—SL 3.4—Arc length and sector area• Find circle arc length and sector area.• Radians are not required at SL.Syllabus objective—SL 3.5—Perpendicular bisectors• Find equations of perpendicular bisectors.• Use two points, or a line segment equation and midpoint.Syllabus objective—SL 3.6—Voronoi diagrams• Use sites, vertices, edges and cells in Voronoi diagrams.• Add a site, use nearest-neighbour interpolation and solve toxic-waste-dump style problems.• Find boundaries, closest sites and region areas; applications include planning, disease, ecology and meteorology.Syllabus objective