Question

B.
Which of the following triplets are Pythagorean?
(3,4,5), (6, 7, 8), (10, 24, 26), (2, 3, 4)​

Answer 1

Answer:

lets take question one one and will verify

we know if it is Pythagoras triplet then it will follow formula a^2 = b^2 + c^2 where a is biggest no and b and c are comparatively smaller no

1. (3,4,5)

so we will put value

a^2 = 5^2 = 25

b^2 = 4^2 = 16

c^2 = 3^2 = 9

a^2 = b^2 +c^2 [we are just taking assumption that it is triplet so I had putted = sign my assumption is wrong than it is not triplet]

25 = 16 + 9

25 = 25

so it is Pythagoras triplet.

______________________________________

2. (6, 7, 8)

so we will put value

a^2 = 8^2 = 64

b^2 = 7^2 = 49

c^2 = 6^2 = 36

a^2 = b^2 +c^2

[we are just taking assumption that it is triplet so I had putted = sign my assumption is wrong than it is not triplet]

64 = 49 + 36

64 = 85

so we know it is not equal so our assumption is wrong .so it is not Pythagoras triplet.

______________________________________

3. (10, 24, 26)

so we will put value

a^2 = 26^2 = 676

b^2 = 24^2 = 576

c^2 =10^2 = 100

a^2 = b^2 +c^2

[we are just taking assumption that it is triplet so I had putted = sign my assumption is wrong than it is not triplet]

676 = 576 + 100

676 = 676

so we know it is equal so our assumption is right .so it is Pythagoras triplet.

______________________________________

4. (2, 3, 4)

so we will put value

a^2 = 4^2 = 16

b^2 = 3^2 = 9

c^2 = 2^2 = 4

a^2 = b^2 +c^2

[we are just taking assumption that it is triplet so I had putted = sign my assumption is wrong than it is not triplet]

16 = 9 + 4

16 = 13

so we know it is not equal so our assumption is wrong .so it is not Pythagoras triplet.

Step-by-step explanation:

hope you understand plz mark my answer BRAINLIST