benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / Let ABCD be a convex quadrilateral whose diagonals AC and BD meet at P. Let the area of triangle APB be 24 and let the area of triangle CPD be 25 . What is the minimum possible are…

Problem

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

problem

Let ABCDA B C D be a convex quadrilateral whose diagonals ACA C and BDB D meet at PP. Let the area of triangle APBA P B be 24 and let the area of triangle CPDC P D be 25 . What is the minimum possible area of quadrilateral $A B C D ?$
Plain-text mathematical notation (without MathML)
Let ABCD be a convex quadrilateral whose diagonals AC and BD meet at P. Let the area of triangle APB be 24 and let the area of triangle CPD be 25 . What is the minimum possible area of quadrilateral $A B C D ?$
Original LaTeX notation
Let $A B C D$ be a convex quadrilateral whose diagonals $A C$ and $B D$ meet at $P$. Let the area of triangle $A P B$ be 24 and let the area of triangle $C P D$ be 25 . What is the minimum possible area of quadrilateral $A B C D ?$

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
da137c08-5895-598e-9eab-2bb3099e5690
task_key
test--da137c08-5895-598e-9eab-2bb3099e5690
task_revision_id
1
config / split
/ test

Official source

initial import