Question

Out of the following which is the Pythagorean triplet?Select the correct alternative.
(A) (1, 5, 10)
(B) (3, 4, 5)
(C) (2, 2, 2)
(D) (5, 5, 2)

Answer 1

B (3,4,5) using the formula (2m,m^2-1,m^2+1)

Answer 2

Answer:

Option 2 is correct.

Step-by-step explanation:

Given the following options we have to choose the option which is Pythagorean triplet.

Option A: (1, 5, 10)

If above is Pythagorean triplet then it satisfy the condition

$10^2=1^2+5^2$

$100=1+25$

$100\neq26$

Not satisfied

∴ Not a Pythagorean triplet

Option B: (3, 4, 5)

If above is Pythagorean triplet then it satisfy the condition

$5^2=3^2+4^2$

$25=9+16$

$25=25$

Satisfied ∴ Pythagorean triplet

Option C: (2, 2, 2)

If above is Pythagorean triplet then it satisfy the condition

$2^2=2^2+2^2$

$4=4+4$

$4\neq8$

Not satisfied

∴ Not a Pythagorean triplet

Option D: (5, 5, 2)

If above is Pythagorean triplet then it satisfy the condition

$5^2=5^2+2^2$

$25=25+4$

$25\neq29$

Not satisfied

∴ Not a Pythagorean triplet