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.
The triangle (88209, 90288, 126225) is intriguing. 88209 is the square of 297, and 297 divides all of the sides of the triangle.
297*297=88209
297*304=90288
297*425=126225
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Posted by Math Man
on 2016-04-11 21:13:36 |