Also note that since we know the relations of sizes ofthe sides ofthe wedged squares, we also know the relations
ofthe sizes ofthe areas of these squares. The squares on sides a,ö,c have areas 1.124 in^ 1.166 in^, and 1.175 in^,
respectively.
So we have found that in this acute triangle, with a > fc > c, we have Sa < Sb < Sc , and the max wedged square
is on the short side c, while the min wedged square is on the long side a.
Based on this evidence we can conjecture that "in an acute triangle the areas ofthe largest wedged squares on
each side are inversely related to the size ofthe bases (sides) ofthe triangle on which they rest". We state this conjecture
as Puzzle 1, for we wish to see if it's true. The solutions to the puzzles are in the appendix at the end ofthe article.