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Find the value of c. Give the answer in simplest radical form.

Find The Value Of C Give The Answer In Simplest Radical Form class=

Sagot :

Answer:

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

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

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

x² + (2[tex]\sqrt{2}[/tex] )² = 4²

x² + 8 = 16 ( subtract 8 from both sides )

x² = 8 ( take the square root of both sides )

x = [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex]

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