Triangle inside a circle
ABC is a triangle inscribed in a circle with centre O. I is the incentre and E1,E2,E3 are excenters relatives to side BC, AC, AB respectively. If R is the circumradius and OI=d, OE1=d1, OE2=d2, OE3=d3. what is the value of d^2+d1^2+d2^2+d3^2 if R=3.
The answer is 108.
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