In the adjacent figure \( \mathrm{P} \) is any interior point of the equilateral triangle \( A...

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In the adjacent figure \( \mathrm{P} \) is any interior point of the equilateral triangle \( A B C \) of side length 2 unit

If \( x_{a}, x_{b} \) and \( x_{c} \) represent the distance of \( P \) from the sides \( B C \) : \( C A \) and \( A B \) respectively then \( x_{a}+x_{b}+x_{c} \) is equal to -
\( -(a) 6 \)
(b) \( \sqrt{3} \)
(c) \( \frac{\sqrt{3}}{2} \)
(d) \( 2 \sqrt{3} \)
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