Illustration Shows Three Circles Traced Out by a Figure Skater $$A = 10 , B = 14 , C = 20$$

Multiple Choice

Illustration shows three circles traced out by a figure skater during her performance.If the centers of the circles are the given distances apart, find the radius of each circle.
$$A = 10 , B = 14 , C = 20$$

A) $\quad r _ { 1 } = 2 , r _ { 2 } = 12 , r _ { 3 } = 8$
B) $\quad r _ { 1 } = 12 , r _ { 2 } = 2 , r _ { 3 } = 8$
C) $\quad r _ { 1 } = 8 , r _ { 2 } = 12 , r _ { 3 } = 2$
D) $\quad r _ { 1 } = 1 , r _ { 2 } = 8 , r _ { 3 } = 13$
E) $\quad r _ { 1 } = 2 , r _ { 2 } = 8 , r _ { 3 } = 12$