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An isosceles triangle ABC with AB = AC = 13 cm and BC = 10 cm has an incircle. What is the length of the tangent from A to the incircle?

Class 10Tangent Lengths and IncirclesGeometry
  • A8 cm
  • B5 cm
  • C13 cm
  • D3 cm

Step-by-Step Solution

The incircle touches BC at its midpoint, so the tangents from B and C are 5 cm each. Tangent from A = 13 − 5 = 8 cm. (Check: s − BC = 18 − 10 = 8.)
Answer: A) 8 cm

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