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.

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.

The incenter of the triangle formed by the axes and the line (x)/(a)+(y)/(b)=1

What is pedal triangle In acute angle triangle (orthocenter of ABC is Incenter of Pedal Triangle.)?

Find the incenter of the triangle formed by the straight lines y=sqrt(3)x,y=-sqrt(3)x and y=3

If a vertex of a triangle is (1,1) , and the middle points of two sides passing through it are -2,3) and (5,2), then find the centroid and the incenter of the triangle.

If a vertex of a triangle is (1,1), and the middle points of two sides passing through it are -2,3) and (5,2), then find the centroid and the incenter of the triangle.