1.

P is a point inside a Delta ABC, D, E, F are the feet or perpendicular from P to the line BC, AB respectively. Show that (BC)/(PD)+ (CA)/(PE) + (AB)/(PF) ge (2s ^(2))/(Delta). Prove that equality holds if P is its incentre, s = semipermeter, Delta = area of triangle.

Answer»


ANSWER :EQUALITY holds when `p = q=r=>P` is incentre of TRIANGLE.


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