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The incircle of triangle ABC touches AB at D, BC at E and CA at F. AF = 3 cm, BD = 5 cm and CE = 4 cm. Find BC.

Class 10Tangent Lengths and IncirclesGeometry
  • A12 cm
  • B9 cm
  • C7 cm
  • D8 cm

Step-by-Step Solution

BE = BD = 5 cm (tangents from B). BC = BE + EC = 5 + 4 = 9 cm. 8 cm uses AF + BD by mistake.
Answer: B) 9 cm

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