matthewdalomba matthewdalomba
  • 18-07-2022
  • Mathematics
contestada

find the expression that represents the length of the hypotenuse of a right triangle whose legs measure 2x2-y2 and 2xy

Respuesta :

sheenuvt12 sheenuvt12
  • 19-07-2022

The expression for hypotenuse is √4x^4 + y^4.

What is Pythagoras theorem?

A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.

Given:

one leg = 2x²- y²

another leg = 2xy

H² = (2x²- y²)² + (2xy)²

H² = 4x^4 + y^4 - 4x²y² + 4x²y²

H²= 4x^4 + y^4

H= √4x^4 + y^4

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ1

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