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Omni-MATH / Triangle ABC has side lengths AB=15,BC=18,CA=20. Extend CA and CB to points D and E respectively such that DA=AB=BE. Line AB intersects the circumcircle of CDE at P and Q. Find the…

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problem

Triangle ABCA B C has side lengths AB=15,BC=18,CA=20A B=15, B C=18, C A=20. Extend CAC A and CBC B to points DD and EE respectively such that DA=AB=BED A=A B=B E. Line ABA B intersects the circumcircle of CDEC D E at PP and QQ. Find the length of PQP Q.
Plain-text mathematical notation (without MathML)
Triangle ABC has side lengths AB=15,BC=18,CA=20. Extend CA and CB to points D and E respectively such that DA=AB=BE. Line AB intersects the circumcircle of CDE at P and Q. Find the length of PQ.
Original LaTeX notation
Triangle $A B C$ has side lengths $A B=15, B C=18, C A=20$. Extend $C A$ and $C B$ to points $D$ and $E$ respectively such that $D A=A B=B E$. Line $A B$ intersects the circumcircle of $C D E$ at $P$ and $Q$. Find the length of $P Q$.

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Source and history

task_id
a5d6cbac-334e-5b6e-8f8f-be9523588483
task_key
test--a5d6cbac-334e-5b6e-8f8f-be9523588483
task_revision_id
1
config / split
/ test

Official source

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