Question

Can anyone help me please?!

Answer 1

`x = √(30)`

Explanation:

By Geometric Mean Property:

`BD = √(7 * 3) \\ \\ BD = √(21) \\ \\ In \: right\: \triangle BDC \\ \\ By \: Pythagoras \: Theorem \\ \\ {x}^(2) = { √(21) }^(2) + {3}^(2) \\ \\ {x}^(2) =21 + 9\\ \\ {x}^(2) =30 \\ \\ \huge \purple{x = √(30) }`