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

Answer:

ayyo perumaal chettaa ennikk ithinte answer ariyilla

ennod kshemikkanam

Answer 2

Answer:

Leon is correct

Step-by-step explanation:

here in the given question ,in order to check whether they are pythogorian triplet or not,one first squares 21 then 28 and finally 35 ; but

      21²+28²=(7*3)²+(7*4)²

                   =7²*3² +7²*4²

                   =7²(3²+4²) =7²×5²  = 35².

this is the reason why Leon said so.