# No angle allowed!

Geometry Level 2

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

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