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A straight line parallel to BC meets side AB of triangle ABC at D and side AC at E. Given AC = 30 cm, AE = 12 cm and AD = 6 cm, find AB (in cm).

Class 10Basic Proportionality TheoremGeometry — Similarity
  • A15
  • B2.4
  • C9
  • D12

Step-by-Step Solution

Use the part-to-whole form of BPT: , i.e. . So cm. (Check: and .) The value 2.4 comes from inverting the proportion; 9 answers with , the part rather than the whole side; 12 copies .
Answer: A) 15

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