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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.-example-1

1 Answer

10 votes

Answer:

x = 2
√(2)

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
√(2) )² = 4²

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

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

x =
√(8) = 2
√(2)

User Kenmore
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