benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / Let ABCDE be a convex pentagon such that begin{aligned} & A B+B C+C D+D E+E A=64 text { and } & A C+C E+E B+B D+D A=72 end{aligned} Compute the perimeter of the convex pentagon wh…

Problem

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

problem

Let ABCDEA B C D E be a convex pentagon such that $$\begin{aligned} & A B+B C+C D+D E+E A=64 \text { and } \\ & A C+C E+E B+B D+D A=72 \end{aligned}$$ Compute the perimeter of the convex pentagon whose vertices are the midpoints of the sides of ABCDEA B C D E.
Plain-text mathematical notation (without MathML)
Let ABCDE be a convex pentagon such that $$\begin{aligned} & A B+B C+C D+D E+E A=64 \text { and } \\ & A C+C E+E B+B D+D A=72 \end{aligned}$$ Compute the perimeter of the convex pentagon whose vertices are the midpoints of the sides of ABCDE.
Original LaTeX notation
Let $A B C D E$ be a convex pentagon such that $$\begin{aligned} & A B+B C+C D+D E+E A=64 \text { and } \\ & A C+C E+E B+B D+D A=72 \end{aligned}$$ Compute the perimeter of the convex pentagon whose vertices are the midpoints of the sides of $A B C D E$.

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
3ce75471-f8c5-51db-8e37-fd1eb0960868
task_key
test--3ce75471-f8c5-51db-8e37-fd1eb0960868
task_revision_id
1
config / split
/ test

Official source

initial import