Coordinates of a incentre

Answer 1

The incenter of a triangle is the point where the angle bisectors of the triangle intersect. It is equidistant from all three sides of the triangle and serves as the center of the inscribed circle (incircle). The coordinates of the incenter can be calculated using the formula: ( I(x, y) = \left( \frac{aA_x + bB_x + cC_x}{a+b+c}, \frac{aA_y + bB_y + cC_y}{a+b+c} \right) ), where ( A, B, ) and ( C ) are the vertices of the triangle, and ( a, b, c ) are the lengths of the sides opposite these vertices.