Respuesta :

Answer:

x = 9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + x² = (9[tex]\sqrt{2}[/tex] )²

2x² = 162 ( divide both sides by 2 )

x² = 81 ( take the square root of both sides )

x = [tex]\sqrt{81}[/tex] = 9

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