Question

20. Among the following, a Pythagorean triplet is
a) (2,3,4)
b) (6,8,10)
c) (9,10,11)
d) (5,6,7)​

Answer 1

Pythagorean triplet =a

2

+b

2

=c

2

⇒8

2

+15

2

=17

2

⇒64+225=286

⇒286=286

Answer 2

Answer:

ii) 6,8,10

Step-by-step explanation:

A "Pythagorean Triple" is a set of positive integers, a, b and c that fits the rule:

a2 + b2 = c2

So checking by this rule

i) 3 square + 2 square = 4 square

= 9 + 4 ≠ 16

= 13 ≠ 16

so this is not a triplet

ii) 8 square + 6 square = 10 square

= 64 + 36 = 100

= 100 = 100

so this is a triplet

iii) 10 square + 9 square = 11 square

= 100 + 81 ≠ 121

= 181 ≠ 121

so this is not a triplet

In this way only the fourth one will also not be a triplet, do the calculation for that one.