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This week, Coach Taylor tries her duke at a brace of puzzles on the affair of appropriate triangles.

Hypotenuse PartitionThe better accessible bow-shaped arc S is inscribed in the appropriate triangle R so that the centermost of S is on the hypotenuse of R. The two endpoints of S and its centermost breach the hypotenuse into four segments. The lengths of three after segments out of those four, in adjustment from one acme of the hypotenuse against the other, are 16, 120 and 120.

What is the breadth of the fourth articulation (which has as one of its endpoints the added acme of the hypotenuse)?Peri-area?Coach Taylor calls a appropriate triangle “perimetric” if all of its abandon accept accumulation lengths, abstinent in the aforementioned unit, and its ambit is numerically according to its breadth (measured in aboveboard units of the aforementioned assemblage as the ancillary lengths were measured).

Find all borderline appropriate triangles.*****See answers to aftermost week’s puzzles below. Come aback aing anniversary for answers and added puzzles.

Note: Comments may accommodate spoilers.

The National Building of Mathematics (MoMath) is North America’s alone building adherent to mathematics. Learn added at momath.org.

Answers:

Last week’s puzzles featured the day of the ages as the answer: The restaurant in Cucina Combinations offers 22 toppings, and in Potato Puzzle, Avery started bistro potato chips 22 canicule ago.

See MoMath’s website for continued solutions.

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