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A triangle A B C ABC ABCwith sidelengths a , b , c a,b,c a,b,cand circumradius R R Rhas the property that its medial triangle is congruent to its orthic triangle.
What is the minimum possible value of a 2 + b 2 + c 2 R 2 ? \frac{a^2+b^2+c^2}{R^2}? R2a2+b2+c2?
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