Does there exist a right angled triangle with integral sides such that the

hypotenuse measures 2000 units of length?

Three no (a,b,c) such that a²+b² =c² are called pythagorean triplets.

Here hypotenus is (2000) so a²+b² = (2000)²

the solutions for a,b are  (560,1920,2000) , (704,1872,2000) , (1200,1600,2000)