If length of AC is 52 and point B lies on AC, then AB = 40 and BC= 12

To determine the length of AB and BC using the given information, we can use the fact that the sum of AB and BC is equal to the length of AC.

Given:
Length of AC = 52

We are also given the relationship between AB and BC:
AB = 40
BC = 12

To find BC, we can use the fact that BC is equal to the difference between AC and AB:
BC = AC - AB

Substituting the known values, we have:
BC = 52 - 40
BC = 12

Thus, we have verified that the given values are consistent.