triangle cake measures exactly 8 inches. What is the length of the shortest possible cut that will divide the cake into two pieces with equal area?
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That's cool, but why do you think the optimal solution is a circular arc?
Circular arcs are often the solutions to minimal curve problems, so it's just a guess that this problem's solution is also a circular arc.
The bisecting circular arc is the solution.
Darn cool answer. After that, everyone has a headache and does not want to eat anymore.