benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / In △ABC,D and E are the midpoints of BC and CA, respectively. AD and BE intersect at G. Given that GECD is cyclic, AB=41, and AC=31, compute BC.

Problem

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

problem

In △ABC,D\triangle ABC, D and EE are the midpoints of BCBC and CACA, respectively. ADAD and BEBE intersect at GG. Given that GECGECD is cyclic, AB=41AB=41, and AC=31AC=31, compute BCBC.
Plain-text mathematical notation (without MathML)
In △ABC,D and E are the midpoints of BC and CA, respectively. AD and BE intersect at G. Given that GECD is cyclic, AB=41, and AC=31, compute BC.
Original LaTeX notation
In $\triangle ABC, D$ and $E$ are the midpoints of $BC$ and $CA$, respectively. $AD$ and $BE$ intersect at $G$. Given that $GEC$D is cyclic, $AB=41$, and $AC=31$, compute $BC$.

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
ea741dc4-7af7-5a77-8b6d-a0f8cd978cbf
task_key
test--ea741dc4-7af7-5a77-8b6d-a0f8cd978cbf
task_revision_id
1
config / split
/ test

Official source

initial import