Area of a Triangle - Using Exact Values WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Exact sine values for 30°, 45°, 60°, and 90°. Labelling triangles for further trigonometry. Fluency with surds e.g. simplifying and rationalising.
Area of a Triangle - Using Exact Values WORKSHEET DESCRIPTION
Strengthen fluency in applying the formula Area = 0.5absinC to any triangle and in using exact trigonometric values with this engaging match-up activity. Learners calculate the area of twelve triangles, identifying pairs that share the same area by working with exact sine values for 30°, 45°, 60°, and 90°. Throughout the worksheet, students practise manipulating surds, presenting answers in exact form, and rationalising denominators where necessary.
As an extension, pupils are challenged to construct their own pair of triangles that have equal area but different included angles—encouraging deeper reasoning and precision when working with exact values and geometric relationships.
As an extension, pupils are challenged to construct their own pair of triangles that have equal area but different included angles—encouraging deeper reasoning and precision when working with exact values and geometric relationships.
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Frequently Asked Questions
This area of a triangle using the sine rule worksheet is designed for students in Year 10 and Year 11 and aligns with the UK National Curriculum.