Pythagorean Triplets through MATLAB

1. Find Pythagorean Triplets  
                                                                       such that the 3rd number is within a Range

This code was created by me in order to find Pythagorean Triplets such that the Third number of the set lies in the given Range. Interestingly, multiples of 25 - 25, 50, etc are part of more than 1 triplet set and your code should be able to capture the same!

  

(I am taking the range as: 1100 to 1200)

% in MATLAB

% Show all the 3 numbers in the output

% Code created by Madhuresh Rai on Jan. 14th 2010

tic

lowerLimit = 1100 ; % Lower of the given range

upperLimit = 1200 ; % Higher of the given range

tempMat = lowerLimit:upperLimit ; 

% Initialize the matrix with nos. from the given range

initRow = 1 ;

pythTriplets = zeros(10,3) ; % Initializing the answer matrix

for i = 1:1:upperLimit

for j = i:1:upperLimit % Use of 'i' should be noted!

if tempMat ( sqrt(i*i + j*j) == tempMat ) % Logically

pythTriplets(initRow,:) = [i j sqrt(i*i + j*j)] ;

initRow = initRow + 1 ;

end

end

end

disp('The required pair of pythagorean triplets are given below:')

pythTriplets

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