benchmarks.wiki / Public workspace

MATH / Let A(2,2) and B(7,7) be points in the plane. Define R as the region in the first quadrant consisting of those points C such that △ABC is an acute triangle. What is the area of the…

Problem

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

problem

Let A(2,2)A(2,2) and B(7,7)B(7,7) be points in the plane. Define RR as the region in the first quadrant consisting of those points CC such that △ABC\triangle ABC is an acute triangle. What is the area of the region RR?
Plain-text mathematical notation (without MathML)
Let A(2,2) and B(7,7) be points in the plane. Define R as the region in the first quadrant consisting of those points C such that △ABC is an acute triangle. What is the area of the region R?
Original LaTeX notation
Let $A(2,2)$ and $B(7,7)$ be points in the plane. Define $R$ as the region in the first quadrant consisting of those points $C$ such that $\triangle ABC$ is an acute triangle. What is the area of the region $R$?

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

Official source

initial import