Circular locus

Level 2

The sides of triangle ABCABC are 5,6,5,6, and 77. PP is a point in the plane of the triangle such that PA2+PB2+PC2=70PA^2 + PB^2 + PC^2 = 70. The locus of PP is a circle of radius rr, where rr can be expressed in the form mn\frac{m}{n} for some relatively prime positive integers mm and nn. Find 100m+n100m+n.

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