Question

find the length of the missing side in simplest form:
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Answer 1

$\huge\green{\boxed{\underline{ANSWER}}}$

$&#10152$ In Given figure given triangle is a right angle triangle in which the hypotenus we have to find..

Applying the theorem of Pythagoras

$&#10230 \: \: {c}^{2} = { (\sqrt{6} )}^{2} + { (\sqrt{30} )}^{2} \\ \\ &#10230 \: \: {c}^{2} = 6 + 30 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ &#10230 \: \: c = \sqrt{36} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ &#10230 \: \: c = 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

•The value of missing side is 6 .