Question

Is 28 21 and 35 a Pythagorean triplet

Answer 1

Answer:

YES

Step-by-step explanation:

28^2 = 784, 21^2 =  441, 441 + 784 = 1225

1225 = 35^2

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Answer 2

Given:

Numbers: 28, 21, 35

To find:

If the given number form a Pythagorean triplet

Solution:

Yes, 28 21 and 35 are Pythagorean triplet.

We can determine whether the given numbers are a triplet or not by using the Pythagoras theorem.

Since such a triplet includes numbers whose squares' sum should be equal to the greatest numbers square, we can determine it as follows-

Let the given numbers be a=28, b=21, and c=35.

Now, as per the Pythagoras theorem,

$a^{2} +b^{2} =c^{2}$

Using the values,

$a^{2} +b^{2}$= $28^{2} +21^{2}$

=784+441

=1225

Similarly, $c^{2} =35^{2}$.

$c^{2}$= 1225

So, $a^{2} +b^{2} =c^{2}$.

28, 21, and 35 make a triplet.

Therefore, 28 21 and 35 are the Pythagorean triplet.