Respuesta :

The length of the hypotenuse AB is 8.94427 units.

What is the Pythagorean theorem?

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

To find the length of the hypotenuse, AB:

Formula:

  • c = √a² + b²

So,

  • AB = √BC² + AC²
  • AB = √4² + 8²
  • AB = √16 + 64
  • AB = √80
  • ≈ 8.94427

Therefore, the length of the hypotenuse AB is 8.94427 units.

Know more about the Pythagorean theorem here:

https://brainly.com/question/343682

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The complete question is given below:
Given right triangle ABC. In the given right triangle, find the length of the hypotenuse, AB, if BC = 4 and AC = 8.

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