Question

Solve for X and solve for Y?

Answer 1

`x=3\sqrt 5\\`

`y = \sqrt {126}`

Explanation:

By geometric mean property:

`x = √(9 * 5) = √(45) = 3 √(5) \\ \\ by \: pythagoras \: theorem \\ \\ {y}^(2) = {9}^(2) + {x}^(2) \\ \\ {y}^(2) = {9}^(2) + {(3 √(5)) }^(2) \\ \\ {y}^(2) = 81 + 45 \\ \\ {y}^(2) = 126 \\ \\ y = √(126)`