Question

Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.

Step 1: Find the greatest common factor of the given lengths: 7
Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5
Step 3: Verify that the lengths found in step 2 form a Pythagorean triple: 3 squared + 4 squared = 9 + 16 = 25 = 5 squared

Leon states that 21, 28, 35 is a Pythagorean triple because the lengths found in step 2 form a Pythagorean triple. Which explains whether or not Leon is correct?

Answer 1

21, 28, 35 form a Pythagorean triple:

1)Leon is correct and his way to find the Pythagorean triplet is absolutely correct but in the second step the 7 must multiply with the given triplet.

2) 3,4 and 5 is the basic Pythagorean triplet and it is property in the mathematics that is we multiply or divide any of the given triplet then the obtained triplet will be the triplet also.

3) And as per the rule Leon multiply the 7.