Respuesta :

Answer:

C

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve for x

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

x² = 8² + 10² = 64 + 100 = 164 ( take the square root of both sides )

x = [tex]\sqrt{164}[/tex]

  = [tex]\sqrt{4(41)}[/tex]

  = [tex]\sqrt{4}[/tex] × [tex]\sqrt{41}[/tex] = 2[tex]\sqrt{41}[/tex] → C

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