lashantipennington5 lashantipennington5
  • 15-07-2020
  • Mathematics
contestada

What is the length of the hypotenuse, x, if (20,21,x) is a Pythagorean triple?

What is the length of the hypotenuse x if 2021x is a Pythagorean triple class=

Respuesta :

Аноним Аноним
  • 15-07-2020

Answer:

29

Step-by-step explanation:

[tex](20,21,x) \\Pythagoras -Theorem =\\a^2+b^2 = c^2\\\\20^2 + 21^2 = x^2\\400 + 441 = x^2\\841 = x^2\\Square -root-both-sides\\\sqrt{841} = \sqrt{x^2} \\29 = x\\\\x = 29[/tex]

Answer Link
09pqr4sT
09pqr4sT 09pqr4sT
  • 15-07-2020

Answer:

B. 29

Step-by-step explanation:

Use Pythagoras theorem.

a² + b² = c²

x is the hypotenuse.

20² + 21² = x²

400 + 441 = x²

841 = x²

√841 = √(x²)

29 = x

Answer Link

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