Question

Check which of the following is a
Pythagorean triplet.
(1 Point)
*
2,3,4
O 6,8,10
4,5,6
7,8,9​

Answer 1

Answer:

2,3,4 is a Pythagorean triplet

Answer 2

Answer:

6,8,10 is the Pythagorean’s triplet

Step-by-step explanation:

(1.) 2,3,4

According to the Pythagoras theorem  i.e;

sum of the squares of two small numbers =square of the large number

⇒ (2)² + (3)² = 4²

⇒ 4+9 = 16

⇒ 13 ≠ 16

∴ 2,3,4 is not a Pythagorean’s triplet

(2.) 6,8,10

according to the Pythagoras theorem

⇒ (6)²+(8)² =10²

⇒ 36+64 = 100

⇒ 100 = 100

∴ 6,8,10 is a Pythagorean’s triplet

(3.) 4,5,6

according to the Pythagoras theorem,

⇒ (4)² + (5)² = (6)²

⇒ 16+25 = 36

⇒ 41 ≠ 36

∴ 4,5,6 is not a Pythagorean’s triplet

(4.) 7,8,9

according to the Pythagoras theorem,

⇒ (7)² + (8)² = (9)²

⇒ 49 + 64 = 81

⇒ 113 ≠ 81

∴ 7,8,9 is not a Pythagorean’s triplet

So, the Pythagorean’s triplet is 6,8,10.

HOPE THIS WOULD BE HELPFUL FOR YOU