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Omni-MATH / Cyclic pentagon ABCDE has a right angle ∠ABC=90^(∘) and side lengths AB=15 and BC=20. Supposing that AB=DE=EA, find CD.

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problem

Cyclic pentagon ABCDEABCDE has a right angle ∠ABC=90∘\angle ABC=90^{\circ} and side lengths AB=15AB=15 and BC=20BC=20. Supposing that AB=DE=EAAB=DE=EA, find CDCD.
Plain-text mathematical notation (without MathML)
Cyclic pentagon ABCDE has a right angle ∠ABC=90^(∘) and side lengths AB=15 and BC=20. Supposing that AB=DE=EA, find CD.
Original LaTeX notation
Cyclic pentagon $ABCDE$ has a right angle $\angle ABC=90^{\circ}$ and side lengths $AB=15$ and $BC=20$. Supposing that $AB=DE=EA$, find $CD$.

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