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Problem 965

AMC 12 late, AIME early

Geometry Difficulty 4.8 Prove it United States competition problems · United States

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

This one wants a proof. Work it on paper, then read the official solution and mark yourself. Be honest about it: the record is only any use to you if it is.

Official solution

Solution: 259 .

Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.