moon6413 moon6413
  • 17-02-2018
  • Mathematics
contestada

If each leg of a 45°-45°-90° triangle measures 8 centimeters, what is the perimeter of the triangle?

Respuesta :

jajumonac jajumonac
  • 18-04-2020

Answer:

The perimeter is around 27 centimeters.

Step-by-step explanation:

Givens

  • Each leg is 8 centimeters long.
  • The angles of the right triangle are 45°, 45° and 90
  • °.

Remember that the perimeter is the sum of all sides. So, we just need to find the hypothenuse using Pitagorean's Theorem.

[tex]h^{2}=8^{2} +8^{2}\\ h=\sqrt{64+64}=\sqrt{128} \approx 11[/tex]

The perimeter would be

[tex]P=8+8+11\\P=27[/tex]

Therefore, the perimeter is around 27 centimeters.

Answer Link

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