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

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]