Maths Olympiad Prep

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Geometry Difficulty 4.6 AIME Find the answer

A triangle has sides of length 888, 925, and x>0x>0. Find the value of xx that minimizes the area of the circle circumscribed about the triangle.

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

259.

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Source: Omni-MATH, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.