Can you relate it to area of triangle?

Geometry Level 4

If \(P\) be any interior point of the equilateral triangle \(ABC\) of side length 2 units and also \({ x }_{ a },{ x }_{ b },{ x }_{ c }\) be the distances of P from the sides \(BC,CA\) and \(AB\) respectively. Compute \({ x }_{ a }+{ x }_{ b } + {x }_{ c } \).