Find the circumradius of triangle ABC.
we want to find all 3 sides so we can use to circumradius formula, so AD=8 and AC=8√2. Because CDB is a 30 60 90 triangle so CB=16 and finally DB=8√3. We find that AB=8+8√3. The circumradius is \(\boxed{8\sqrt2}\)
Just to expand on qjin's answer
Circumradius = product of sides / [ 4 * area ] =
[ ( 8sqrt 2) ( 8 + 8sqrt 3) (16) ] / [ 4 * (1/2)(8 +8sqrt 3) * 8 ] =
[ 16 * 8sqrt 2 ] / [ 16 ] =
8sqrt 2
