Pls asap i will ive brainlist ! 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: mc011-1.jpg 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? yes, multiplying every length of a pythagorean triple by the same whole number results in a pythagorean triple. yes, any set of lengths with a common factor is a pythagorean triple. no, the lengths of pythagorean triples cannot have any common factors. no, the given side lengths can form a pythagorean triple even if the lengths found in step 2 do not.

The first one is correct!!

"Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple."

Step-by-step explanation:

Leon is correct. (Option 1)

Step-by-step explanation:

Given that 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.

we have to explain whether or not Leon is correct.

As, 3,4,5 forms a Pythagorean triplet i.e satisfies the Pythagoras theorem

⇒

Let a, b, c forms a Pythagorean triplet

Multiplied by 4 on both sides

⇒

⇒

Hence, we say 4a, 4b and 4c also forms a Pythagorean triplet.

∴ multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Hence, Leon is correct.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4