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1. [tex]\sqrt{x} 115=10.7238[/tex]

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2. 47

   step-by-step explanation:

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3. d. bc = 12 and ef = 16

   step-by-step explanation:

   we are given that δabc : δdef such that [tex]\frac{ab}{de}=\frac{bc}{ef}[/tex].

   also, it is given that [tex]\frac{ab}{de}=\frac{3}{4}[/tex]

   so, from the options, we need that [tex]\frac{bc}{ef}=\frac{3}{4}[/tex].

   a. [tex]\frac{bc}{ef}=\frac{6}{9}=\frac{2}{3}[/tex]

   b. [tex]\frac{bc}{ef}=\frac{4}{6}=\frac{2}{3}[/tex]

   c.   [tex]\frac{bc}{ef}=\frac{8}{12}=\frac{2}{3}[/tex]

   d. [tex]\frac{bc}{ef}=\frac{12}{16}=\frac{3}{4}[/tex]

   as, we can see that only option d gives the same ratio as [tex]\frac{ab}{de}=\frac{3}{4}[/tex] i.e. [tex]\frac{bc}{ef}=\frac{3}{4}[/tex].

   hence, the possible lengths are bc = 12 and ef = 16.

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