Question

Which of the following is not a pythagoras triplet?

a. (5, 12, 13)          b. (8, 15, 17)          c. (12, 15, 19)          d. (3, 4, 5)​

Answer 1

Answer:

c. 12, 15, 19

Step-by-step explanation:

Pythagoras Theorem:

Square of Hypotenuse = Sum of squares of other two sides

So, if the numbers satisfy this theorem, then they are pythagorean triplets.

a. 13² = 169

5² + 12² = 25 + 144 = 169

Since they satisfy the Pythagoras Theorem, they are pythagorean triplets.

b. 17² = 289

8² + 15² = 64 + 225 = 289

Since they satisfy the Pythagoras Theorem, they are pythagorean triplets.

c. 19² = 361

12² + 15² = 144 + 225 = 369

Since they do not satisfy the Pythagoras Theorem, they are not pythagorean triplets.

d. 5² = 25

3² + 4² = 9 + 16 = 25

Since they satisfy the Pythagoras Theorem, they are pythagorean triplets.

Hope it helps you:)

Answer 2

Pythagoras triplet is a set of three numbers wherein the sum of the square of the two smaller numbers is equal to the square of the third larger number.

If p,q, and r are Pythagoras triplet, where p,q < r

then, $p^{2} + q^{2} = r^{2}$

• (5 , 12 , 13) are Pythagoras triplet

        $5^{2} +12^{2} = 13^{2}$

        25 + 144 = 169

• (8, 15, 17) are Pythagoras triplet

       $8^{2} +15^{2} =17^{2}$

       64 + 225 = 289

• (3, 4, 5)​ are Pythagoras triplet

         $3^{2}+4^{2} =5^{2}$

         9 + 16 = 25

(12, 15, 19)  are not Pythagoras triplet because

$12^{2} +15^{2} \neq 19^{2}$

144 + 225 ≠ 361

The correct answer will be option c.