benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / Let ABCD be a convex trapezoid such that ∠BAD=∠ADC=90^(∘),AB=20,AD=21, and CD=28. Point P≠A is chosen on segment AC such that ∠BPD=90^(∘). Compute AP.

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 trapezoid such that ∠BAD=∠ADC=90∘,AB=20,AD=21\angle B A D=\angle A D C=90^{\circ}, A B=20, A D=21, and CD=28C D=28. Point P≠AP \neq A is chosen on segment ACA C such that ∠BPD=90∘\angle B P D=90^{\circ}. Compute APA P.
Plain-text mathematical notation (without MathML)
Let ABCD be a convex trapezoid such that ∠BAD=∠ADC=90^(∘),AB=20,AD=21, and CD=28. Point P≠A is chosen on segment AC such that ∠BPD=90^(∘). Compute AP.
Original LaTeX notation
Let $A B C D$ be a convex trapezoid such that $\angle B A D=\angle A D C=90^{\circ}, A B=20, A D=21$, and $C D=28$. Point $P \neq A$ is chosen on segment $A C$ such that $\angle B P D=90^{\circ}$. Compute $A P$.

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
fab326a8-3195-5a56-88fc-3fc1dfbee606
task_key
test--fab326a8-3195-5a56-88fc-3fc1dfbee606
task_revision_id
1
config / split
/ test

Official source

initial import