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Omni-MATH / Let AXBY be a cyclic quadrilateral, and let line AB and line XY intersect at C. Suppose AX⋅AY=6,BX⋅BY=5, and CX⋅CY=4. Compute AB².

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problem

Let AXBYA X B Y be a cyclic quadrilateral, and let line ABA B and line XYX Y intersect at CC. Suppose AX⋅AY=6,BX⋅BY=5A X \cdot A Y=6, B X \cdot B Y=5, and CX⋅CY=4C X \cdot C Y=4. Compute AB2A B^{2}.
Plain-text mathematical notation (without MathML)
Let AXBY be a cyclic quadrilateral, and let line AB and line XY intersect at C. Suppose AX⋅AY=6,BX⋅BY=5, and CX⋅CY=4. Compute AB².
Original LaTeX notation
Let $A X B Y$ be a cyclic quadrilateral, and let line $A B$ and line $X Y$ intersect at $C$. Suppose $A X \cdot A Y=6, B X \cdot B Y=5$, and $C X \cdot C Y=4$. Compute $A B^{2}$.

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Source and history

task_id
a280b124-22e4-585e-8a17-2d21d266914b
task_key
test--a280b124-22e4-585e-8a17-2d21d266914b
task_revision_id
1
config / split
/ test

Official source

initial import