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What three numbers are the pythagorean triple generated by using 4 for x and 1 for y?

User Nvcnvn
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Final answer:

The Pythagorean triple generated by using 4 for x and 1 for y is 15, 8, 17, where 15 and 8 are the legs of the right triangle and 17 is the hypotenuse.

Step-by-step explanation:

The student has asked for the Pythagorean triple generated by using 4 for x and 1 for y. A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². These triples can be generated using the formulas: a = x² - y², b = 2xy, and c = x² + y², where x and y are positive integers with x > y.

Using 4 for x and 1 for y, we calculate the following:

  • a = 4² - 1² = 16 - 1 = 15
  • b = 2 × 4 × 1 = 8
  • c = 4² + 1² = 16 + 1 = 17

Therefore, the Pythagorean triple generated is 15, 8, 17.

User ChristianWimmer
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