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Suppose we have two points A(5,5)A(5, 5)A(5,5) and B(3,2)B(3, 2)B(3,2). Point C is placed on the line y=3x+4y = 3x+4y=3x+4 such that △ABC\triangle ABC△ABC is a right triangle.
If CCC has coordinates (x,y)(x, y)(x,y) and the sum of all possible values of (x,y)(x, y)(x,y) is PPP, then find 11P11P11P.
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