20 14 Shenzhen as shown in the figure, if the angle C in the rt triangle is c=90 degrees and the bisecting angle CABAC of ad is 6 BC = 8, what is CD equal to?

The vertical line from point D to the AB side, the vertical point is E, and the angle ACD is equal to the angle AED, both of which are 90 degrees, the AD is the public side, the angle CAD is equal to the angle EAD, and the triangle ACD is congruent with the triangle AED. Let the CD side length x, then DE is X. Pythagorean Theorem, AB is 10, BE is 10-6 = 4, and there is Pythagorean Theorem X ∧ 2+4 ∧ 2 = (8-x) ∧ 2 in triangle BDE. The solution x is 3.