This is another Brainteaser from the *Quantum* math magazine .

“How can a polygonal line BDEFG be drawn in a triangle ABC so that the five triangles obtained have the same area?”

I found this problem rather challenging, especially when I first tried to solve it analytically (using hyperbolas). Eventually I arrived at a procedure that would accomplish the result. (revised)

See the Equitable Slice Problem (revised)

**(Update 9/22/2021) ** I goofed. I erroneously and foolishly thought *Quantum* had not solved the problem. Upon a closer reading I see what they were getting at and revised the posting.