Question

Find the value of the variables in the simplest form

Answer 1

x = 2

Explanation:

Using Pythagoras' identity in the right triangle

x² + x² = (2
`√(2)` )² , that is

2x² = 8 ( divide both sides by 2 )

x² = 4 ( take the square root of both sides )

x =
`√(4)` = 2