NCERT Solutions
Class 8 Maths
Squares and Square Roots

Ex.6.2 Q.2
Write a Pythagoras triplet whose one member is:
1. 6
2. 14
3. 16
4. 18
1. There are three numbers 2m, m2 – 1 and m2 + 1 in a Pythagorean triplet.
Here, 2m = 6 => m = 6 ÷ 2 = 3
Therefore, second number is:
m2 – 1 = 32 – 1 = 9 – 1 = 8
Third Number is:
m2 + 1 = 32 + 1 = 9 + 1 = 10
Hence, Pythagorean triplet is (6, 8, 10)
2. There are three numbers 2m, m2 – 1 and m2 + 1 in a Pythagorean triplet.
Here, 2m = 14 => m = 14 ÷ 2 = 7
Therefore, second number is:
m2 – 1 = 72 – 1 = 49 – 1 = 48
Third Number is:
m2 + 1 = 72 + 1 = 49 + 1 = 50
Hence, Pythagorean triplet is (14, 48, 50)
3. There are three numbers 2m, m2 – 1 and m2 + 1 in a Pythagorean triplet.
Here, 2m = 16 => m = 16 ÷ 2 = 8
Therefore, second number is:
m2 – 1 = 82 – 1 = 64 – 1 = 63
Third Number is:
m2 + 1 = 82 + 1 = 64 + 1 = 65
Hence, Pythagorean triplet is (16, 63, 65)
4There are three numbers 2m, m2 – 1 and m2 + 1 in a Pythagorean triplet.
Here, 2m = 18 => m = 18 ÷ 2 = 9
Therefore, second number is:
m2 – 1 = 92 – 1 = 81 – 1 = 80
Third Number is:
m2 + 1 = 92 + 1 = 81 + 1 = 82
Hence, Pythagorean triplet is (9, 80, 82)