smileyrylea513
smileyrylea513 smileyrylea513
  • 16-12-2021
  • 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
  • 16-12-2021

Answer:

x = [tex]\sqrt{6}[/tex]

Step-by-step explanation:

The triangle has 2 congruent sides , each of length x

Using Pythagoras' identity in the right triangle

x² + x² = ([tex]\sqrt{12}[/tex] )²

2x² = 12 ( divide both sides by 2 )

x² - 6 ( take square root of both sides )

x = [tex]\sqrt{6}[/tex]

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