Exam Special | Pythagorean Triplets

A triplet (mnp) of three natural numbers mn and p is called a pythagorean triplets if m^(2)+n^(2)=p^(2)

Identify, with reason, which is Pythagorean triplets. (5,12,13)

If a and b are natural numbers and a gt b, then show that (a^(2) + b^(2)), (a^(2) - b^(2)),(2ab) is a pythagorean triplet. Find two Pythagorean triplets using any convenient values of a and b.

If a and b are natural numbers and a gt b, then show that (a^(2)+b^(2)),(a^(2)-b^(2))_,(2ab) is a Pythagorean triplet. Find two Pythagorean triplets using any convenient values of a and b.

Out of the following which is the Pythagorean triplet ?

Which of the following is Pythagorean triplet(s)?

Out of the following which is a Pythagorean triplet?

Assin different values to a and b and obtain Pythagorean triplets.