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Prerequisites

G20b – Trigonometric ratios – sin, cos and tan
G20c – Inverse trigonometric functions
G22a – The sine rule – knowledge of the convention to label sides and opposite angles a, b,c, and A, B and C respectively is required for this whole lesson, and knowledge of the sine rule itself is required for the Gamma exercise
G22b – The cosine rule – knowledge of the cosine rule is required for the Gamma exercise

Area of a triangle using sine

Teacher resources

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Slides in PPTX (with click-to-reveal answers)
Slides in PDF (one slide per page, suitable for importing into IWB software)

Worksheet (with space for student work)
Handout (slides with exercises only; 4 per page for reduced printing)
- Worked solutions to all questions

Random Question Generator

Mashup activity: From radius to angles to area

Links to past exam questions

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Unlimited practice questions

Activity: areas of regular polygons and limits

This applet shows you a regular polygon. Drag the slider to change its number of sides. No matter how many sides it has, the distance from its centre to each vertex is fixed at 1 cm. What do you notice about the area of the polygon as you increase the number of sides it has?

What next?

Trigonometry assorted problems – requiring knowledge of G20a, G20b, G20c, G22a, G22b, and G23a
G23b – Mixed problems using trigonometric formulas