(I NEED THIS ANSWERED QUICKLY! I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!)


The older square-shaped floppy diskettes measured 5 inches on each side. What was the diagonal length of a diskette?

A. √ 50 in.
B. √ 55 in.
C. √ 51 in.
D. √ 58 in.

Respuesta :

Answer:

The diagonal length of a diskette is [tex]\sqrt{50}[/tex]

Step-by-step explanation:

Given:

sides = 5 inches

To Find:

diagonal length of a diskette = ?

Solution:

The diskette is in the shape of square

So the diagonal of  square = [tex]s \sqrt{2}[/tex]

where  s is the side of the square

On substituting the square value

The diagonal of diskette = [tex](5) \sqrt{2}[/tex]

The diagonal of diskette = [tex]( \sqrt{5} )( \sqrt{5} )( \sqrt{2} )[/tex]                        [tex][\because 5 = \sqrt{5} \cdot \sqrt{5} ][/tex]

The diagonal of diskette = [tex]\sqrt{50}[/tex]