No angle allowed!

Geometry Level 2

Triangle ABCABC is a right triangle with a side length AC=5,C=90\left\lvert\overline{AC}\right\rvert=5, \angle C = 90^\circ and the measures of A\angle A and B\angle B unknown. If DD is a point on AB\overline{AB} such that ADC=90\angle ADC = 90^\circ and AD=4,\left\lvert\overline{AD}\right\rvert=4, what is BC?\left\lvert\overline{BC}\right\rvert?

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