kendraludeman1947 kendraludeman1947
  • 26-05-2022
  • Mathematics
contestada

Find an integer x such that x, 56, 65 is a pythagorean triple

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 26-05-2022

Answer:

  x = 33

Step-by-step explanation:

The three numbers will be a Pythagorean triple if the sum of the squares of the first two is equal to the square of the third.

__

We want ...

  x² +56² = 65²

  x² = 65² -56² = 4225 -3136 = 1089

  x = √1089 = 33

The value x = 33 will make (33, 56, 65) a Pythagorean triple.

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