PLEASE HELP I NEED IT 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? A. Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple. B.Yes, any set of lengths with a common factor is a Pythagorean triple. C.No, the lengths of Pythagorean triples cannot have any common factors. D.No, the given side lengths can form a Pythagorean triple even if the lengths found in step 2 do not.
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FROM MY OPINION 3. PART IS CORRECT
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Step-by-step explanation:
The procedure used by Leon can not be used to determine whether three figures are Pythagorean triple. This is because it doesn't work in some cases.
It may work in some case like
6, 8 ,10
Where if we divide by the GCF (2), we get 3, 4, 5
But in a case like 9, 40, 41, it can't work, though those figures are Pythagorean triple
In conclusion, Leon's method can not be relied on..
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