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A Pythagorean triangle (Posted on 2016-04-08) Difficulty: 4 of 5
Given: The sum of the squares of a and its reverse b (i.e. the number read from right to left) is a perfect square.

Find the sides a,b,c of this peculiar right-angled triangle.

Source: This property was discovered by Victor Th├ębault in 1959.

No Solution Yet Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution re: computer solution.....GO OEIS ! | Comment 2 of 4 |
(In reply to computer solution by Charlie)

 

 Victor Th├ębault in 1959 published( American Mathematical Monthly of January 1959)  the triplet <Begin>

88209 90288 126225     (7780827681 8151922944 15932750625  corresponding  squares)   <end>  which triggered my post.

Charlie, your 2 additional solutions (maybe adding one more, runtime allowing) definitely justify   the adding of 3 interesting sequences (a, b, c) to the OEIS folder.

 Strongly recommend you do it.

 


  Posted by Ady TZIDON on 2016-04-09 08:34:37
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