benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / Points A,B,C in the plane satisfy (AB)¯=2002,(AC)¯=9999. The circles with diameters AB and AC intersect at A and D. If (AD)¯=37, what is the shortest distance from point A to line …

Problem

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

problem

Points A,B,CA, B, C in the plane satisfy AB¯=2002,AC¯=9999\overline{A B}=2002, \overline{A C}=9999. The circles with diameters ABA B and ACA C intersect at AA and DD. If AD¯=37\overline{A D}=37, what is the shortest distance from point AA to line BCB C?
Plain-text mathematical notation (without MathML)
Points A,B,C in the plane satisfy (AB)¯=2002,(AC)¯=9999. The circles with diameters AB and AC intersect at A and D. If (AD)¯=37, what is the shortest distance from point A to line BC?
Original LaTeX notation
Points $A, B, C$ in the plane satisfy $\overline{A B}=2002, \overline{A C}=9999$. The circles with diameters $A B$ and $A C$ intersect at $A$ and $D$. If $\overline{A D}=37$, what is the shortest distance from point $A$ to line $B C$?

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
66962af0-efa2-5df3-b844-e5f26d771a45
task_key
test--66962af0-efa2-5df3-b844-e5f26d771a45
task_revision_id
1
config / split
/ test

Official source

initial import