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Let ABC is a triangle, O is a point insi...

Let ABC is a triangle, O is a point inside the triangle, so that its distance from A, B,C is respectively a, b,c L, M,N are the feet of the perpendiculars from O to AB, BC,CA, respectively. x, y and z are respectively the distances of O from L,M,N.Let `/_OAL=a,/_OBM=beta and /_OCN=gamma` `AL +BM + CN` is equal to

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