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 ${ x }_{ a }+{ x }_{ b } + {x }_{ c }$ .

None of these choices

\cfrac { \sqrt { 3 } }{ 4 }

\sqrt { 3 }

2\sqrt { 3 }

\cfrac { \sqrt { 3 } }{ 2 }