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Circumscribable Quadrilateral and Finding Lengths

In the attached figure, the quadrilateral ABCD has the following lengths of sides and diagonals: DC=7, CB=8, BA=13, AD=13, AC=15, and BD=13.
1. Verify that quadrilateral ABCD is circumscribable
2. Find the remaining lengths of DE, BE, AE, and CE.

Although it appears there is a right angle, it is not labeled as though it is, so treat it like there is not a right angle.

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Solution Summary

This comprehensive, well explained solution includes a diagram. Circumscibability is investigated and the lengths are found.

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