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Omni-MATH / Carina has three pins, labeled A,B , and C , respectively, located at the origin of the coordinate plane. In a move, Carina may move a pin to an adjacent lattice point at distance …

Problem

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problem

Carina has three pins, labeled A,BA, B , and CC , respectively, located at the origin of the coordinate plane. In a move, Carina may move a pin to an adjacent lattice point at distance 11 away. What is the least number of moves that Carina can make in order for triangle ABCABC to have area 2021? (A lattice point is a point (x,y)(x, y) in the coordinate plane where xx and yy are both integers, not necessarily positive.)
Plain-text mathematical notation (without MathML)
Carina has three pins, labeled A,B , and C , respectively, located at the origin of the coordinate plane. In a move, Carina may move a pin to an adjacent lattice point at distance 1 away. What is the least number of moves that Carina can make in order for triangle ABC to have area 2021?
(A lattice point is a point (x,y) in the coordinate plane where x and y are both integers, not necessarily positive.)
Original LaTeX notation
Carina has three pins, labeled $A, B$ , and $C$ , respectively, located at the origin of the coordinate plane. In a move, Carina may move a pin to an adjacent lattice point at distance $1$ away. What is the least number of moves that Carina can make in order for triangle $ABC$ to have area 2021?
(A lattice point is a point $(x, y)$ in the coordinate plane where $x$ and $y$ are both integers, not necessarily positive.)

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Source and history

task_id
1d23aa69-2bd6-57b5-af7f-fc64d4c6db9a
task_key
test--1d23aa69-2bd6-57b5-af7f-fc64d4c6db9a
task_revision_id
1
config / split
/ test

Official source

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