Given segment XZ and point Y that lies on XZ find XZ if XY=11 and YZ=17
We can use the segment addition postulate which states that if three points A,B, and C are collinear and B is between A and C, then AB + BC = AC.
In this case, X, Y, and Z are collinear with Y between X and Z. So we can use the segment addition postulate to find XZ:
XY + YZ = XZ
Substituting the given values:
11 + 17 = XZ
Simplifying:
28 = XZ
Therefore, the length of segment XZ is 28.