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The incircle of triangle ABC has radius 4 cm and touches BC at D, with BD = 6 cm and DC = 8 cm. Find AB.

Class 10Tangent Lengths and IncirclesGeometry
  • A15 cm
  • B14 cm
  • C12 cm
  • D13 cm

Step-by-Step Solution

Let the tangent from A be . Sides: BC = 14, AB , AC . Area = . Heron: . Squaring: , so . AB = 13 cm (AC = 15 cm).
Answer: D) 13 cm

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