benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / Suppose ABC is a triangle with circumcenter O and orthocenter H such that A,B,C,O, and H are all on distinct points with integer coordinates. What is the second smallest possible v…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Suppose ABCA B C is a triangle with circumcenter OO and orthocenter HH such that A,B,C,OA, B, C, O, and HH are all on distinct points with integer coordinates. What is the second smallest possible value of the circumradius of ABCA B C ?
Plain-text mathematical notation (without MathML)
Suppose ABC is a triangle with circumcenter O and orthocenter H such that A,B,C,O, and H are all on distinct points with integer coordinates. What is the second smallest possible value of the circumradius of ABC ?
Original LaTeX notation
Suppose $A B C$ is a triangle with circumcenter $O$ and orthocenter $H$ such that $A, B, C, O$, and $H$ are all on distinct points with integer coordinates. What is the second smallest possible value of the circumradius of $A B C$ ?

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
630b7c48-3dfd-5c8b-8259-d151c21934e4
task_key
test--630b7c48-3dfd-5c8b-8259-d151c21934e4
task_revision_id
1
config / split
/ test

Official source

initial import