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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.)
re: An intriguing thing Comment 4 of 4 |
(In reply to An intriguing thing by Math Man)

Well, they are not a primitive pythagorean triple. The primitive is 297, 304, 425. The multiplicative factor 297 (99*3) is rather normal as 99 (and generally 9) is highly involved when you reverse numbers. 


Anyway I find also interesting that all the solutions are 0 mod 27.

  Posted by armando on 2016-04-12 08:52:50
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