Ed in Leaside
All three cuts need to be the same length. When the circumcenter falls outside of the triangle it is not possible to make those cuts. Put another way: the cuts have to be made on the radius of the circumcircle.
Edit: Oops,I looked at incenter again. There are two methods that can be followed to fix the cake. From the right angle at side to the incenter works in all cases. From the points to the circumcenter fails as noted above. Points to Samforce I think.
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- Friday Puzzler -- Cake and Box