Question

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

Answer 1

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)`