# 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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