Difference between revisions of "2025 AIME I Problems/Problem 6"
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| − | + | ==Problem== | |
| + | An isosceles trapezoid has an inscribed circle tangent to each of its four sides. The radius of the circle is <math>3</math>, and the area of the trapezoid is <math>72</math>. Let the parallel sides of the trapezoid have lengths <math>r</math> and <math>s</math>, with <math>r \neq s</math>. Find <math>r^2+s^2</math> | ||
Revision as of 17:04, 13 February 2025
Problem
An isosceles trapezoid has an inscribed circle tangent to each of its four sides. The radius of the circle is 
, and the area of the trapezoid is 
. Let the parallel sides of the trapezoid have lengths 
and 
, with 
. Find 
