Back To Back Right Triangles

Geometry Level 2

In the above figure, \(ABC\) is a right triangle with height \(AD\), resulting in Pythagorean triangles \(ABD \) and \(ACD \). If \( AD = 12\), what is the length of \( BC\)?

Clarification: A Pythagorean Triangle is a right triangle with sides of integer length.

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