Take vertices of a \[\Delta \,ABC\]as centres and draw three circles with centres A, B, C respectively, each touching the other two externally. If the sides of the triangle are AB = a; BC = b, CA = c, find the radii of three circles in terms of a, b, c.

• A. \[a+b+c,\frac{a-b-c}{2},\frac{a+b-c}{2}\]
• B. \[\frac{a+b}{2},\frac{b+c}{2},\frac{c+a}{2}\]
• C. \[\frac{a}{2},\frac{b}{2},\frac{c}{2}\]
• D. \[\frac{a-b+c}{2},\frac{a+b-c}{2},\frac{b+c-a}{2}\]