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2006 iTest Problems/Problem U7

Revision as of 20:27, 17 November 2019 by Someonenumber011 (talk | contribs) (Created page with "==Problem== Let <math>T = TNFTPP</math>. Triangle <math>ABC</math> has integer side lengths, including <math>BC = 100T - 4</math>, and a right angle, <math>\angle A...")
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Problem

Let $T = TNFTPP$. Triangle $ABC$ has integer side lengths, including $BC = 100T - 4$, and a right angle, $\angle ABC$. Let $r$ and $s$ denote the inradius and semiperimeter of $ABC$ respectively. Find the perimeter of the triangle ABC which minimizes $\frac{s}{r}$.

Solution

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