Competition problem — Geometry — Maths Olympiad Prep

Library / /31 of 48

Geometry Difficulty 4.8 AIME Prove it United States

Problem:
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.

Solution

Solution: 259 .

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

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