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Let I,Ia,IbI, I_a, I_bI,Ia,Ib be the incenter, A−A-A− excenter, B−B-B− excenter respectively of a triangle △ABC\triangle ABC△ABC with side lengths AB=5,BC=7,CA=8.AB= 5, BC= 7, CA= 8.AB=5,BC=7,CA=8. Let RRR be the circumradius of △IIaIb.\triangle II_aI_b.△IIaIb. Find 3R.\sqrt{3}R.3R.
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