This question already has an answer here:
A piece of spaghetti falls and breaks into three pieces with two break points selected randomly. What is the probability that an ACUTE angled triangle can be formed with the three pieces?
My initial attempt was to find cases of ALL triangles which I managed to conclude has a probability of 1/4. I have also seen a similar problem on this site which yields the same answer so I am happy with the steps up to this point! I would please like some help as to how I should now isolate the cases for acute triangles only?
Edit: Had a look at the link below but I think mine may be slightly different as it deals with the case of a totally random and independent break. Not the case where we break once and choose another of the two to break again.