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A circle touches the sides AB, BC, CD, DA of quadrilateral ABCD at P, Q, R, S. AB = 6 cm, BC = 9 cm, CD = 8 cm and AP = 2 cm. Find DR.

Class 10Tangent Lengths and IncirclesGeometry
  • A2 cm
  • B5 cm
  • C3 cm
  • D4 cm

Step-by-Step Solution

BP = 6 − 2 = 4 = BQ. CQ = 9 − 4 = 5 = CR. DR = 8 − 5 = 3 cm. (Check: AD = AS + SD = 2 + 3 = 5 and 6 + 8 = 9 + 5.)
Answer: C) 3 cm

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