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

Otras preguntas

I need help answering
Why did the United States suffer a loss of confidence following the launch of Sputnik I? The United States knew that they would not be able to build a satellite
What are two specialized fields of geography
What is a summary you learned about about imperialist United States!! Explain
____ often refers to the various criminal justice agencies and institutions (e.G., police, courts, and corrections) that are interrelated and work together towa
What are the four primary fontanelles on the fetal skill?
How did the lack of new conquests hurt the roman empire?
If the mass of two objects is doubled but the distance between them remains the same, what happens to the force of gravitational attraction between them
Hurricanes form near the equator because:
Which information is omitted on a “birth to 36 months” growth chart