Equitable Slice Problem

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.  The Quantum “solution,” however, was tantamount to just saying divide the triangle into triangles of equal area—without providing a method!  That is, no solution at all.

See the Equitable Slice Problem

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