Can anyone help me please?!

Mathematics

1 answer:

vodomira [7]3 years ago

7 0

Answer:

$x = \sqrt{30}$

Step-by-step explanation:

By Geometric Mean Property:

$BD = \sqrt{7 \times 3} \\ \\ BD = \sqrt{21} \\ \\ In \: right\: \triangle BDC \\ \\ By \: Pythagoras \: Theorem \\ \\ {x}^{2} = { \sqrt{21} }^{2} + {3}^{2} \\ \\ {x}^{2} =21 + 9\\ \\ {x}^{2} =30 \\ \\ \huge \purple{x = \sqrt{30} }$

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