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More Tangential Trapezoids (Posted on 2022-12-16) Difficulty: 4 of 5
In A Tangential Trapezoid, Jer describes a specific isosceles tangential trapezoid. I am going to generalize that idea.

How many isosceles tangential trapezoids exist where all their sides and diagonals are whole numbers and all those dimensions are at most 1000?

An example is a trapezoid with bases 6 and 20, lateral sides of 13, and diagonals of 17.

Bonus challenge: How many of these trapezoids have all dimensions at most 100,000?

No Solution Yet Submitted by Brian Smith    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
very goodlady2022-12-19 00:46:33
BonusCharlie2022-12-16 10:51:12
re: computer solution (hope it's right--see caveats)Charlie2022-12-16 10:27:40
Some Thoughtscomputer solution (hope it's right--see caveats)Charlie2022-12-16 10:17:50
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