XY is an angle bisector of ΔAXN. Find the length of side XN

The length of XN is 6What is the angle bisector theorem?According to the triangle angle bisector theorem, any angle in a triangle will divide the opposite side in a ratio equal to the ratio of the sides that contain the angle.A line or ray that divides an angle in a triangle into two equal parts is known as an angle bisector. The two fundamental characteristics of an angle bisector are that each point on it is equally spaced from its sides and that it divides the opposite side of a triangle in proportion to its adjacent sides, which is known as the triangle's angle bisector property.CalculationBy angle bisector theorem[tex]\frac{AX}{NX} =\frac{AY}{NY}[/tex][tex]\frac{18}{NX} =\frac{12}{4}[/tex][tex]NX=\frac{18*4}{12} =6[/tex]Therefore, the length of side NX in the given triangle is 6.To learn more about the angle bisector theorem, refer to https://brainly.com/question/9742008#SPJ1