youngsamaria0 youngsamaria0
  • 02-02-2022
  • Mathematics
contestada

Ques
Which of the following is not a Pythagorean triple?
O A. (6, 8, 10)
O B. (8, 15, 17)
O C. (5, 8, 9)
OD. (5, 12, 13)

Respuesta :

jimrgrant1 jimrgrant1
  • 02-02-2022

Answer:

C

Step-by-step explanation:

In a Pythagorean triple the square on the longest side is equal to the sum of the squares on the other 2 sides.

A

longest side = 10 ⇒ 10² = 100

6² + 8² = 36 + 64 = 100

A is a Pythagorean triple

B

longest side = 17 ⇒ 17² = 289

8² + 15² = 64 + 225 = 289

B is a Pythagorean triple

C

longest side = 9 ⇒ 9² = 81

5² + 8² = 25 + 64 = 89

89 ≠ 81

C is not a Pythagorean triple

D

longest side = 13 ⇒ 13² = 169

5² + 12² = 25 + 144 = 169

D is a Pythagorean triple

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