jasmineveliz
jasmineveliz jasmineveliz
  • 16-03-2022
  • Mathematics
contestada

Find the length of side x in simplest radical form with a rational denominator.

Find the length of side x in simplest radical form with a rational denominator class=

Respuesta :

jimrgrant1 jimrgrant1
  • 16-03-2022

Answer:

x = [tex]\sqrt{22}[/tex]

Step-by-step explanation:

the 2 legs are congruent

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , then

x² = ([tex]\sqrt{11}[/tex] )² + ([tex]\sqrt{11}[/tex] )² = 11 + 11 = 22 ( take square root of both sides )

x = [tex]\sqrt{22}[/tex]

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