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In triangle ABC, D lies on AB and E lies on AC with DE parallel to BC. If AD = 4, DB = 6 and DE = 6, what is the length of BC?

Competition practiceGeometry
  • A9
  • B10
  • C15
  • D12

Step-by-Step Solution

DE ∥ BC makes triangle ADE similar to triangle ABC. AB = AD + DB = 10, so the ratio is AD : AB = 4 : 10 = 2 : 5. Then DE : BC = 2 : 5, so BC = .
Answer: C) 15

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