From any point inside an equilateral triangle, the lengths of perpendiculars 015 the sides are 'a? cm ?b? cm and ?c? cms. Its area (in\[\mathbf{c}{{\mathbf{m}}^{\mathbf{2}}}\]) is

• A. \[\frac{\sqrt{2}}{3}\left( a+b+c \right)\]
• B. \[\frac{\sqrt{3}}{3}{{\left( a+b+c \right)}^{2}}\]
• C. \[\frac{\sqrt{3}}{3}\left( a+b+c \right)\]
• D. \[\frac{\sqrt{2}}{3}{{\left( a+b+c \right)}^{2}}\]