Question

Find x.
I need help please

Answer 1

`x = 4 √(3)`

Explanation:

By geometric mean theorem and Pythagoras theorem:

`{x}^(2) = { (√(8 * 4) )}^(2) + {4}^(2) \\ \\ {x}^(2) = { (√(32) )}^(2) + {4}^(2) \\ \\ {x}^(2) = 32 + 16 \\ \\ {x}^(2) = 48 \\ \\ x = √(48) \\ \\ x = 4 √(3)`