Timed Quant Practice - Medium Section 2 Sample Test #1 Qu3

Hi! Trying to understand the explanation here-- I know we have a 5, 12, 13 triangle. One case is the diameter is the 13, in which case radius is 6.5

The solution video mentioned it’s a possibility that the 12 is diameter, and then 13 is just a chord in the circle. I’m a little confused how this could be the case-- isn’t the diameter the longest chord in the circle? So how could 12 be the diameter but 13 be a chord? Essentially, I’m confused why the answer isn’t “Quantity A is bigger” because the minimum radius is 6.5.

Thank you!!

Consider the length of the hypotenuse to be 12 alongside one of the legs having length 5. What would the length of the other leg be?