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Omni-MATH / Let ABC be a triangle with circumcenter O such that AC=7. Suppose that the circumcircle of AOC is tangent to BC at C and intersects the line AB at A and F. Let FO intersect BC at E…

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problem

Let ABCABC be a triangle with circumcenter OO such that AC=7AC=7. Suppose that the circumcircle of AOCAOC is tangent to BCBC at CC and intersects the line ABAB at AA and FF. Let FOFO intersect BCBC at EE. Compute BEBE.
Plain-text mathematical notation (without MathML)
Let ABC be a triangle with circumcenter O such that AC=7. Suppose that the circumcircle of AOC is tangent to BC at C and intersects the line AB at A and F. Let FO intersect BC at E. Compute BE.
Original LaTeX notation
Let $ABC$ be a triangle with circumcenter $O$ such that $AC=7$. Suppose that the circumcircle of $AOC$ is tangent to $BC$ at $C$ and intersects the line $AB$ at $A$ and $F$. Let $FO$ intersect $BC$ at $E$. Compute $BE$.

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Source and history

task_id
8b4f7f5d-b182-524e-afa6-ed12bddea72f
task_key
test--8b4f7f5d-b182-524e-afa6-ed12bddea72f
task_revision_id
1
config / split
/ test

Official source

initial import