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Problem of the Week
Problem D
Triangled

Consider the following diagram.

Horizontal line segment AE has point B directly below A and point D directly above E. Vertical segments AB and DE and diagonal segment BD, crossing AE at C, form two right-angled triangles with common vertex C.

If \(AE=60\), \(DE=8\), and \(CD=17\), determine the length of \(BC\).