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The incenter of a triangle
Problem 482
Published on 28 September 2014 at 07:00 am [Server Time]
ABC is an integer sided triangle with incenter I and perimeter p.
The segments IA, IB and IC have integral length as well.
Let L = p + |IA| + |IB| + |IC|.
Let S(P) = ∑L for all such triangles where p ≤ P. For example, S(103) = 3619.
Find S(107).
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