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If PPP be any interior point of the equilateral triangle ABCABCABC of side length 2 units and also xa,xb,xc{ x }_{ a },{ x }_{ b },{ x }_{ c }xa,xb,xc be the distances of P from the sides BC,CABC,CABC,CA and ABABAB respectively. Compute xa+xb+xc{ x }_{ a }+{ x }_{ b } + {x }_{ c } xa+xb+xc.
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