In this maths lesson, students are given 15 angles and 15 lengths and have to work out how they can be placed into 5 right-angled triangles.
Finding triples of angles that sum to 180° is fairly easy, but sorting out the lengths is harder, and entails using sin, cos and tan as well as some strategic thinking.
This lesson provides plenty of opportunities for students to practise using trigonometric ratios to calculate lengths in a context where there is a bit more to think about.
Key curriculum links
- Use mathematical language and properties precisely
- Use trigonometric ratios in similar triangles to solve problems involving right-angled triangles
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KS3 Maths Lesson Plan – Practice Geometry Skills by Working out Which Sides and Angles can go Together with ‘Five Triangles’
