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the length of mariana's rectangular living room is 8 meters and the distance between opposite corners is 9 meters. what is the width of mariana's livi

Respuesta :

Using the Pythagorean theorem, the width of Mariana's room is √17 meters.

What is the Pythagorean theorem?

  • The Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental Euclidean geometry relationship between the three sides of a right triangle.
  • This statement states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

So, the Pythagorean theorem formula:

c² = a² + b²

Now, insert values as follows and calculate the width:

c² = a² + b²

9² = 8² + b²

81 = 64 + b²

b² = 81 - 64

b² = 17

b = √17


Therefore, using the Pythagorean theorem, the width of Mariana's room is √17 meters.

Know more about the Pythagorean theorem here:

https://brainly.com/question/28921824

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