The problem is asking us to solve for the length of segment c, given that segments AB and CD intersect inside or outside a circle, and that AB = 3 cm, CD = 12 cm, and AD = 18 cm.
Since AB = CD, we can set up the following proportion:
AB/AD = CD/BD
Substituting in the given values, we get:
3/18 = 12/BD
Cross-multiplying, we get:
3BD = 216
Dividing both sides by 3, we get:
BD = 72
Therefore, the length of segment c is:
c = BD - CD = 72 - 12 = 60 cm