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A quadrilateral ABCD circumscribes a circle. The tangent lengths from A, B, C and D are 3 cm, 4 cm, 5 cm and 6 cm. Find AB + CD.

Class 10Tangent Lengths and IncirclesGeometry
  • A36 cm
  • B9 cm
  • C22 cm
  • D18 cm

Step-by-Step Solution

AB = 3 + 4 = 7 cm and CD = 5 + 6 = 11 cm, so AB + CD = 18 cm. It equals BC + DA = 9 + 9, and the perimeter is 36 cm.
Answer: D) 18 cm

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