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A circle is inscribed in triangle ABC, touching AB at D, BC at E and CA at F. If AD = 4 cm, BE = 5 cm and CF = 6 cm, find the perimeter of the triangle.

Class 10Tangent Lengths and IncirclesGeometry
  • A30 cm
  • B15 cm
  • C20 cm
  • D60 cm

Step-by-Step Solution

Equal tangents: AF = AD = 4, BD = BE = 5, CE = CF = 6. Perimeter = 2(4 + 5 + 6) = 30 cm. 15 cm counts each tangent length once.
Answer: A) 30 cm

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