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

Property 10 For any natural number m greater than 1(2mm^(2)-1m^(2)+1) is a pythagorean triplet if m^(2)+n^(2)=p^(2)

For every natural number m, (2m -1, 2m^2-2m, 2m^2–2m + 1) is a pythagorean triplet. True or false

Given L.C.M.of three natural numbers a,b,c is 1000 and if the possible number of ordered triplets (a,b,c) is p^(2), where p is a prime number,then find the value of p

There exist natural numbers,m & n such that m^(2)=n^(2)+2010.

Perfect square or square number A natural number n is called a perfect square or a square number if there exists a natural number m such that n=m^(2)

Suppose m and n are any two numbers . If m^(2) -n^(2) , 2mn and m^(2) + n^(2) are the three sides of a triangle , then show that it is a right angled triangle and hence write any two pairs of Pythagorean triplet .

The possible number of ordered triplets (m, n, p) where m,np in N is (6250K) such that 1ltmlt100,1ltnlt50,1ltplt25 and 2^(m)+2n^(n)+2^(p) is divisible by 3 then k is

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.