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On congruent numbers (Posted on 2013-02-24) Difficulty: 4 of 5
An integer n is a congruent number iff there exists a right triangle having area n and rational sides. (Sloane A003273)
Show that the numbers 5,6,7 are congruent and 8 is not.

Determine how to decide whether a given number is congruent or not.

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

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re: Possible Approach | Comment 3 of 4 |
(In reply to Possible Approach by broll)

On congruent numbers is a mathematical exercise in how to find if two sets of numbers are congruent or not. Congruent numbers are numbers that are both greater than or equal to each other and can be added to each other without changing the number. For example, 24+24=52 is a congruent pair because both the numbers are bigger than each other https://www.huffpost.com/archive/ca/entry/to-pay-or-not-to-pay-someone-to-write-my-essay-for-me_b_14793970. A common question in elementary school classrooms is: if I multiply two numbers together and the result is twice as big, does this mean they are congruent?
  Posted by Arthur Swanson on 2022-10-12 00:02:32

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