Hushar Mulga
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Identify, with reason, if the following is a Pythagorean triplet. (11, 60, 61)

Practice Set 2.1 | Q 1.6 | Page 38
Identify, with reason, if the following is a Pythagorean triplet.
(11, 60, 61)

Solution

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

Explanation:- 

Yes, (11, 60, 61) is a Pythagorean triplet.

A Pythagorean triplet is a set of three positive integers that satisfy the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In the given set (11, 60, 61), the two shorter sides of the triangle are 11 and 60, and the longest side (the hypotenuse) is 61.

Using the Pythagorean theorem, we can verify that:

11^2 + 60^2 = 121 + 3600 = 3721 = 61^2

So, (11, 60, 61) satisfies the Pythagorean theorem, and hence is a Pythagorean triplet.

Chapter 2 – Pythagoras Theorem- Text Book Solution

Practice Set 2.1 | Q 1.6 | Page 38