In a triangle, sum of any two side is grater than the third side
\(\therefore\) In ΔPBA, AB < PA + PB ….(i)
In ΔPBC, BC < PB + PC ….(ii)
In ΔPCA, AC < PC + PA ….(iii)
By adding (i), (ii) and (iii)
AB + BC + AC < PA + PB + PB + PC + PC + PA
AB + BC + AC < 2 (PA+ PB + PC).