# Is 12, 16, 20 a Pythagorean triplet?

### 12 Answers

- Engr. RonaldLv 74 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..

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- busterwasmycatLv 74 weeks 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.

- Ian HLv 74 weeks 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.

- lenpol7Lv 74 weeks 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