4MA1/1F Jan 2019, Question 20: Similar Triangles
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 3 marks
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The question, in short
In the figure with AB parallel to ED and straight lines ACD and BCE crossing at C, use AB = 8 cm, AC = 4.8 cm, BC = 6.4 cm and ED = 20 cm to calculate BE.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1AB is parallel to ED, so triangles ABC and DEC are similar
- 2Scale factor = ED ÷ AB = 20 ÷ 8 = 2.5
- 3CE = 6.4 × 2.5 = 16 cm
- 4BE = BC + CE = 6.4 + 16 = 22.4
Answer22.4
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