P is a point outside of circle Γ. The tangent from
P to
Γ
touches at A. A line from
P intersects
Γ at
B and
C such
that ∠ACP=120
∘. If
AC=16 and
AP=19, then the
radius of Γ can be written as a root b/c
where a and c are co prime and c is not divisible by square of any prime.Find a+b+c.