Think Geometry!

Geometry Level 3

A right \(\Delta\) \(ABC\) is drawn on the \(x-y\) plane as shown in the figure above.

If \(AB\) is \(8\) units and \(BC\) is 6 units, and the value of \(BD + CD\) is \(k\), then enter the value of \(\lfloor 100k \rfloor\).

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