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Triangle ABC has AB = 10 cm, BC = 8 cm and CA = 12 cm. Its incircle touches BC at E. Find BE.

Class 10Tangent Lengths and IncirclesGeometry
  • A4 cm
  • B7 cm
  • C5 cm
  • D3 cm

Step-by-Step Solution

Let the tangent lengths from A, B, C be . Adding: . So = BE = 15 − 12 = 3 cm (and CE = 5 cm).
Answer: D) 3 cm

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