To find XZ, we should use the Segment Addition Postulate. This postulate tells us that, if we have a point between two points, we can add the lengths of the two smaller segments to find the longer segment length. In our case, X is between A and Z, so AZ is the sum of AX and XZ.
AZ = AX + XZ
From the diagram, we know that the length of AZ is 38 and the length of AX is 27. Now, we can use this to calculate XZ.
