Respuesta :

Answer:

x = 2[tex]\sqrt{34}[/tex]

Step-by-step explanation:

Using  Pythagoras' identity on the right triangle.

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

x² = 6² + 10² = 36 + 100 = 136

Take the square root of both sides

x = [tex]\sqrt{136}[/tex] = [tex]\sqrt{4(34)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{34}[/tex] = 2[tex]\sqrt{34}[/tex]

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