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GCSE Mathematics Problem Solving Shape and Measure Higher Tier

This problem-solving activity focuses on proving the similarity between triangles using Pythagoras' theorem. By finding the missing sides and scale factor, learners will understand the concept of similar triangles with practical examples.

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GCSE Mathematics Problem Solving Shape and Measure Higher Tier

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  1. GCSE Mathematics Problem Solving Shape and Measure Higher Tier

  2. Prove that these are similar triangles. 3cm 6cm 4cm Helping Hand 8cm • Consider what would make these triangles similar. • Find the length of the missing sides, that is the longest side of both right angled triangles. • Find the scale factor

  3. Answer Use Pythagoras’ theorem to find the length of the missing sides. 3cm 4cm 6cm 8cm

  4. Answer 5cm 10cm 3cm 6cm 4cm 8cm If the scale factors are the same then the triangles are similar. Each side has been enlarged by the same scale factor therefore they are similar triangles.

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