All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
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    
No Rating

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
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (11)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information