1.

Find .​

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ong>Step-by-step explanation:

\textsf\color{blue}Now the ratio of the corresponding sides is equal to each other.Now the ratio of the corresponding sides is equal to each other.

\textsf\overline{AD}:\overline{EF}=\overline{DE}:\overline{CE} AD :EF = DE : CE

\textsf\longleftrightarrow a:x=\sqrt{2}x:\sqrt{2}b⟷a:x= 2 x: 2b\longleftrightarrowa:x=

2 x: 2 b⟷a:x=2x:2b

\longleftrightarrow a:x=x:b⟷a:x=x:b\therefore x^2=ab∴x2 =ab⟷a:x=x:b⟷a:x=x:b∴x

2=ab∴x2=ab

\textsf therefore\boxed{x=\sqrt{ab} }∴x= abtherefore x= ABA ∴x=ab



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