Question

Practice Set 49
1. Find the Pythagorean triplets from among the following sets of numbers.
$ (1) 3, 4, 5
(ii) 2, 4, 5
4, 5, 6
(iv) 2, 6, 7
(v) 9. 40. 41
(vi) 4, 7, 8
2. The sides of some triangles are given below. Find out which ones are right-angled
triangles?
(0) 8, 15, 17
(ii) 11, 12, 15 (i) 11, 60, 61 (iv) 1.5, 1.6, 1.7
(v) 40, 20, 30
292
190​

Answer 1

Answer:

It is known that, if in a triplet of natural numbers, the square of the biggest number is equal to sum of the squares of the other two numbers, then the three numbers form a Pythgorean triplet.

(i) The given set of numbers is (3, 4, 5).

The biggest number among the given set is 5.

52 = 25; 42 = 16; 32 = 9

Now, 16 + 9 = 25

∴ 42 + 32 = 52

Thus, (3, 4, 5) forms a Pythagorean triplet.