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Omni-MATH / Five points A₁,A₂,A₃,A₄,A₅ lie on a plane in such a way that no three among them lie on a same straight line. Determine the maximum possible value that the minimum value for the an…

Problem

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problem

Five points A1,A2,A3,A4,A5A_1,A_2,A_3,A_4,A_5 lie on a plane in such a way that no three among them lie on a same straight line. Determine the maximum possible value that the minimum value for the angles ∠AiAjAk\angle A_iA_jA_k can take where i,j,ki, j, k are distinct integers between 11 and 55.
Plain-text mathematical notation (without MathML)
Five points A₁,A₂,A₃,A₄,A₅ lie on a plane in such a way that no three among them lie on a same straight line. Determine the maximum possible value that the minimum value for the angles ∠A_(i)A_(j)A_(k) can take where i,j,k are distinct integers between 1 and 5.
Original LaTeX notation
Five points $A_1,A_2,A_3,A_4,A_5$ lie on a plane in such a way that no three among them lie on a same straight line. Determine the maximum possible value that the minimum value for the angles $\angle A_iA_jA_k$ can take where $i, j, k$ are distinct integers between $1$ and $5$.

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Source and history

task_id
fd120b31-9765-52e3-83de-55357bcfcc72
task_key
test--fd120b31-9765-52e3-83de-55357bcfcc72
task_revision_id
1
config / split
/ test

Official source

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