benchmarks.wiki / Public workspace

MATH / Triangle ABC has three different integer side lengths. Side AC is the longest side and side AB is the shortest side. If the perimeter of ABC is 384 units, what is the greatest poss…

Problem

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

problem

Triangle ABCABC has three different integer side lengths. Side ACAC is the longest side and side ABAB is the shortest side. If the perimeter of ABCABC is 384 units, what is the greatest possible difference AC−ABAC - AB?
Plain-text mathematical notation (without MathML)
Triangle ABC has three different integer side lengths. Side AC is the longest side and side AB is the shortest side. If the perimeter of ABC is 384 units, what is the greatest possible difference AC−AB?
Original LaTeX notation
Triangle $ABC$ has three different integer side lengths. Side $AC$ is the longest side and side $AB$ is the shortest side. If the perimeter of $ABC$ is 384 units, what is the greatest possible difference $AC - AB$?

level

Level 5

type

Geometry

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

Official source

initial import