Question

Which of the following sets are Pythagorean triplets? Give reasons for your answers.
a. 11, 22, 33
b. 30, 40, 50
c. 9, 40, 41​

Answer 1

Answer

9,40,41

Step-by-step explanation:

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Answer 2

a. Let's check ,if

${11}^{2} + {22}^{2} = {33}^{2}$

11 squared is 121, 22 square is 484 and 33 squared is 1089.

so 121+484 does not equal to 1089.

Hence a is wrong.

b.same let's check for 30,40 and 50.

we will see that it's just a multiple of 3,4 and 5 which is a pythagorean triplet.

So option b is correct.

c. Now for 9,40,41.

${9}^{2} = 81$

${40}^{2} = 1600$

${41}^{2} = 1681$

Then, 9 squared + 40 squared = 81+1600

which is equal to 41 squared.

Hence option c is also correct.

So option b and c are pythagorean triplets.