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A circle touches side BC of triangle ABC at P and touches AB and AC extended at Q and R. If AQ = 15 cm, find the perimeter of triangle ABC.

Class 10Tangent Lengths and IncirclesGeometry
  • A7.5 cm
  • B30 cm
  • C45 cm
  • D15 cm

Step-by-Step Solution

BQ = BP and CR = CP (equal tangents), and AQ = AR. Perimeter = AB + BP + PC + CA = (AB + BQ) + (CR + CA) = AQ + AR = cm.
Answer: B) 30 cm

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