Question

Which of the following is/are not Pythagorean triplet (s)?
(a) 3,4,5
(b) 8, 15, 17 (c) 7,24,25 (d) 13,26,29
( please step by step explanation)​

Answer 1

$\mathtt{a)}$

• 3, 4, 5

(3)² = 9, (4)² = 16, (5)² = 25

➳ (3)² + (4)² = 9 + 16

➳ (3)² + (4)² = 25

➳ (3)² + (4)² = (5)²

The square of the largest number is equal to the sum of the squares of the other two numbers.

$\therefore$ (3, 4, 5) is a Pythagorean Triplet.

$\mathtt{b)}$

• 8, 15, 17

(8)² = 64, (15)² = 225, (17)² = 289

➳ (8)² + (15)² = 64 + 225

➳ (8)² + (15)² = 289

➳ (8)² + (15)² = (17)²

The square of the largest number is equal to the sum of the squares of the other two numbers.

$\therefore$ (8, 15, 17) is a Pythagorean Triplet.

$\mathtt{c)}$

• 7, 24, 25

(7)² = 49, (24)² = 576, (25)² = 625

➳ (7)² + (24)² = 49 + 576

➳ (7)² + (24)² = 625

➳ (7)² + (24)² = (25)²

The square of the largest number is equal to the sum of the squares of the other two numbers.

$\therefore$ (7, 24, 25) is a Pythagorean Triplet.

$\mathtt{d)}$

• 13, 26, 29

(13)² = 169, (26)² = 676, (29)² = 841

➳ (13)² + (26)² = 169 + 676

➳ (13)² + (26)² = 845

➳ (13)² + (26)² ≠ (29)²

The square of the largest number is not equal to the sum of the squares of the other two numbers.

$\therefore$ (13, 26, 29) is not a Pythagorean Triplet.

Answer 2

Answer:

i know but why I explainhu

Step-by-step explanation:

vh ujhhh. bhnhb. g. b v. y. b. vyr