What does BD equal to?
CA=√202+162=√656
BD2+202=BA2
AC2+BA2=(DC+BD)2 =>656+(BD2+202)=(16+BD)2
656+BD2+400=256+32BD+BD2
1056−256=800=32BD
BD=25
Thanks, James
Another method
We have the relationship that
BD / AD = AD / DC
BD / 20 = 20 / 16 cross-multiply
16 BD = 20 * 20
16 BD = 400
BD = 400 /16 = 25
BD = 20(20 / 16)