@alertsidewinder Good question! That's definitely a valid solution. You correctly found that the circle circumscribing the kite has diameter AC, so the circle has radius 13/2 = 6.5. Connecting O and B gives right triangle OPB with OP = 9-6.5 = 2.5, OB = 6.5. By Pythagoras, you can then find PB as 6 (maybe noticing that the side lengths are in a 5-12-13 ratio to minimize calculations) and you end up with the same answer as the official video's method.
Great job! 🙂