- A0.5 km
- B0.3 km
- C0.8 km
- D1.0 km
Step-by-Step Solution
Perimeter of triangle PCD = PA + PB = 2.4 km (equal tangents). So PD = 2.4 − 0.7 − 0.9 = 0.8 km.
Answer: C) 0.8 km
Two straight roads from a village P touch a circular lake at A and B, and PA = 1.2 km. A footpath touching the lake meets PA at C and PB at D. If PC = 0.7 km and CD = 0.9 km, find PD.
Class 10Tangent Lengths and IncirclesGeometry
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