A sphere with center O has radius 6 . A triangle with sides of length 15,15 , and 24 is situated in space so that each of its sides is tangent to the sphere. What is the distance between O and the plane determined by the triangle?
Answer Choices
A. 2 \sqrt{3}
B. 4
C. 3 \sqrt{2}
D. 2 \sqrt{5}
E. 5