benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / Triangle ABC has vertices A(0,0), B(0,3) and C(5,0). A point P inside the triangle is √(10) units from point A and √(13) units from point B. How many units is P from point C? Expre…

Problem

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

problem

Triangle ABC has vertices A(0,0)A(0, 0), B(0,3)B(0, 3) and C(5,0)C(5, 0). A point PP inside the triangle is 10\sqrt{10} units from point AA and 13\sqrt{13} units from point BB. How many units is PP from point CC? Express your answer in simplest radical form.
Plain-text mathematical notation (without MathML)
Triangle ABC has vertices A(0,0), B(0,3) and C(5,0). A point P inside the triangle is √(10) units from point A and √(13) units from point B. How many units is P from point C? Express your answer in simplest radical form.
Original LaTeX notation
Triangle ABC has vertices $A(0, 0)$, $B(0, 3)$ and $C(5, 0)$. A point $P$ inside the triangle is $\sqrt{10}$ units from point $A$ and $\sqrt{13}$ units from point $B$. How many units is $P$ from point $C$? Express your answer in simplest radical form.

level

Level 5

type

Geometry

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
dadd914e-5d3b-5dc9-ad51-8979fd723b79
task_key
geometry--test--dadd914e-5d3b-5dc9-ad51-8979fd723b79
task_revision_id
1
config / split
geometry / test

Official source

initial import