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Omni-MATH / In unit square ABCD, points E,F,G are chosen on side BC,CD,DA respectively such that AE is perpendicular to EF and EF is perpendicular to FG. Given that GA=(404)/(1331), find all p…

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problem

In unit square ABCDA B C D, points E,F,GE, F, G are chosen on side BC,CD,DAB C, C D, D A respectively such that AEA E is perpendicular to EFE F and EFE F is perpendicular to FGF G. Given that GA=4041331G A=\frac{404}{1331}, find all possible values of the length of BEB E.
Plain-text mathematical notation (without MathML)
In unit square ABCD, points E,F,G are chosen on side BC,CD,DA respectively such that AE is perpendicular to EF and EF is perpendicular to FG. Given that GA=(404)/(1331), find all possible values of the length of BE.
Original LaTeX notation
In unit square $A B C D$, points $E, F, G$ are chosen on side $B C, C D, D A$ respectively such that $A E$ is perpendicular to $E F$ and $E F$ is perpendicular to $F G$. Given that $G A=\frac{404}{1331}$, find all possible values of the length of $B E$.

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Source and history

task_id
9a481630-a1e5-5c0f-b163-5c3a045e9b52
task_key
test--9a481630-a1e5-5c0f-b163-5c3a045e9b52
task_revision_id
1
config / split
/ test

Official source

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