Monday, May 24, 2021

RIDDLES:No Isosceles Triangles For You! SOLVE

 The Riddler Cheese Company is producing what are called “craft triples” — triangular slices of cheese whose side lengths are Pythagorean triples, when measured in inches.

However, the company’s slicing machine recently malfunctioned and produced a stock of square slices with side lengths of 5 inches

. To salvage this situation, what is the greatest number of whole Pythagorean slices that can be made from each 5-inch square? (Note: You can only cut pieces out of the square. No melting or gluing pieces together!)

Extra credit: What is the smallest square of cheese such that 100 percent of the square can be partitioned into craft triples?

Five Three Eight

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