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Triangle ABC has AB = 13 cm, BC = 14 cm and CA = 15 cm. D is the point on BC with BD = 10 cm. How long is AD?

Competition practiceGeometry
  • A13 cm
  • B12 cm
  • C11 cm
  • D2√37 cm

Step-by-Step Solution

Drop the altitude to BC. From , BE = 5 and . Then , so cm. (12 cm is the altitude, 2√37 cm the median.)
Answer: A) 13 cm

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