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2025 AIME I Problems/Problem 6

Revision as of 17:04, 13 February 2025 by Mathkiddus (talk | contribs)

Problem

An isosceles trapezoid has an inscribed circle tangent to each of its four sides. The radius of the circle is $3$, and the area of the trapezoid is $72$. Let the parallel sides of the trapezoid have lengths $r$ and $s$, with $r \neq s$. Find $r^2+s^2$

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