u/Extension-Living2703

Based of this question I tried using individual term and equate them to be >= to 0. basically I included value from -1 all the way to 5. However the answer seems to be 12 and 14 is not 1 of the option. I would love to see others opinion on how to solve this question or is the answer really wrong.

I am facing an issue on how the diagram can be showed with the circle within the triangle without touching AB line with the centre O splitting the altitude BH. As I tried it must touched AB in order for the centre to be at BH line.

(PS ans is 20.16)