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 Thébault in 1959.
(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