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Statement 1: The incenter of a triangle ...

Statement 1: The incenter of a triangle formed by the lines `xcos(pi/9)+ysin(pi/9)=pi,xcos((8pi)/9)+ysin((8pi)/9)=pi` and `xcos((13pi)/9)+ysin((13pi)/9)=pi` is `(0,0)` Statement 2: Any point equidistant from the given three non-concurrent straight lines in the plane is the incenter of the triangle formed by these lines.

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Find the incentre of a triangle formed by the lines x "cos" (pi)/(9) + y "sin" (pi)/(9) = pi, x "cos" (8pi)/(9)+ y "sin" (8pi)/(9) = pi " and x "cos" (13pi)/(9) + y "sin" ((13pi)/(9)) = pi.

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