# Is 12, 16, 20 a Pythagorean triplet?

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• Yeahhh   :  it the fourth , i.e. 4*(3+4+5)

• Yes. Because 20 is the hypotenuse of the right triangle which is the longest length of the triangle. and when we plug in 12 and 16 to the pythagorean theorem formula, we will get 20..

Here's my proof

c = √(a^2 + b^2)

c = √(12^2 + 16^2)

c = √(400)

c = 20  prove..

• Yes, 12/4=3, 16/4=4, 20/4=5

it is a 3,4,5 triangle

• Yes, for

sqr(12^2+16^2)=

sqr(400)=

20

• Yes because 12^2 + 16^2 = 400 and the square root of 400 = 20

• Yes ==> 12^2 + 16^2 = 20^2

• 4x (3, 4, 5) = 12, 16, 20.  so yes.  The essential (fundamental) ratio of lengths of the sides remains 3-4-5 even if the units are not specifically 3, 4 and 5.

• yes

12^2 + 16^2 =

144 + 256 =

400 =

20^2

• There are many Pythagorean triplets.

Perhaps the best known is 3, 4, 5 and its multiples.

Multiplying 3, 4, 5 by 4 you see that 12, 16, 20 is such a multiple.

So, yes.

• Yes!!! It is.

The pythagorean triplet is 3,4,5.

Any triangles with this ratio are also Pythagorean.

So in your 12,16,20  triangle '4' is a common factor . Divide each number by '4' .

12/4 = 3 ; 16/4 = 4 ; 20/4 = 5

So it is  Pythagorean triangle.

NB There are other Pythagorean triangles, notably 5,12,13. This is NOT a 3,4,5 ratio , but it satisfies the Pythagorean equation.  13^2 = 12^2 + 5^2 => 169 = 144 + 25