Question

need answer of 1 and 3 question
$\sqrt{6 + 4 \sqrt{2} }$
also answer this

Answer 1

$3) \: length \: of \: median \: \: = \\ \sqrt{2 {b}^{2} + 2 {c}^{2} - {a}^{2} } \\ \sqrt{2( {ac}^{2} + {ab}^{2} ) - {bc}^{2} } = 3 \\ \sqrt{2(50) - {bc}^{2} } = 3 \\ 100 - {bc}^{2} = 9 \\ bc = \sqrt{91} \\ \\ \sqrt{6 + 4 \sqrt{2} } = \sqrt{4 + 2 + 4 \sqrt{2} } \\ = \sqrt{ {2}^{2} + { (\sqrt{2}) }^{2} + 2(2) ( \sqrt{2)} } \\ = \sqrt{ {(2 + \sqrt{2} )}^{2} } = 2 + \sqrt{2}$