# Is 12, 16, 20 a Pythagorean triplet?

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• oubaas
Lv 7
4 weeks ago

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

• 4 weeks ago

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..

• 4 weeks ago

Yes, 12/4=3, 16/4=4, 20/4=5

it is a 3,4,5 triangle

• 1 month ago

Yes, for

sqr(12^2+16^2)=

sqr(400)=

20

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• David
Lv 7
1 month ago

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

• 1 month ago

Yes ==> 12^2 + 16^2 = 20^2

• 1 month ago

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.

• 1 month ago

yes

12^2 + 16^2 =

144 + 256 =

400 =

20^2

• Ian H
Lv 7
1 month ago

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.

• 1 month ago

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

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