Question

Find the value of x. Write your answer in simplest form.

Answer 1

x = 9

Explanation:

Using Pythagoras' identity in the right triangle

x² + x² = (9
`√(2)` )²

2x² = 162 ( divide both sides by 2 )

x² = 81 ( take the square root of both sides )

x =
`√(81)` = 9