benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / A dot is marked at each vertex of a triangle ABC. Then, 2,3 , and 7 more dots are marked on the sides AB,BC, and CA, respectively. How many triangles have their vertices at these d…

Problem

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

problem

A dot is marked at each vertex of a triangle ABCA B C. Then, 2,3 , and 7 more dots are marked on the sides AB,BCA B, B C, and CAC A, respectively. How many triangles have their vertices at these dots?
Plain-text mathematical notation (without MathML)
A dot is marked at each vertex of a triangle ABC. Then, 2,3 , and 7 more dots are marked on the sides AB,BC, and CA, respectively. How many triangles have their vertices at these dots?
Original LaTeX notation
A dot is marked at each vertex of a triangle $A B C$. Then, 2,3 , and 7 more dots are marked on the sides $A B, B C$, and $C A$, respectively. How many triangles have their vertices at these dots?

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
ce6fae54-12c7-585c-a655-0b8f5d168207
task_key
test--ce6fae54-12c7-585c-a655-0b8f5d168207
task_revision_id
1
config / split
/ test

Official source

initial import