Question

2) Identify, with reason, which of the following are Pythagorean triplets. (11, 60, 61)
612
and
112 + 602
+ 3600
= 112 + 602
612
.. (11, 60, 61) is a
triplets.​

Answer 1

Answer:

In the triplet (11, 60, 61),

In the triplet (11, 60, 61),112 = 121, 602 = 3600, 612 = 3721 and 121 + 3600 = 3721

In the triplet (11, 60, 61),112 = 121, 602 = 3600, 612 = 3721 and 121 + 3600 = 3721The square of the largest number is equal to the sum of the squares of the other two numbers.

In the triplet (11, 60, 61),112 = 121, 602 = 3600, 612 = 3721 and 121 + 3600 = 3721The square of the largest number is equal to the sum of the squares of the other two numbers.∴ (11, 60, 61) is a pythagorean triplet