Math, asked by GreatHelper82, 6 months ago

If the length of one side of a square field is 7789 m and length of its diagonals is d then find the value of d/root2
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Answers

Answered by pulakmath007
23

SOLUTION :

GIVEN

  • The length of one side of a square field is 7789 metre
  • The length of its diagonals is d metre

TO DETERMINE

The value of \displaystyle \sf{ \frac{d}{ \sqrt{2} }  \: }

FORMULA TO BE IMPLEMENTED

If length of the side of a square is x unit

Then length of the diagonal

\displaystyle \sf{  = x \sqrt{2} \: } \:  \: unit

EVALUATION

Here it is given that the length of one side of the square field is 7789 metre.

So the length of the diagonal of the square

 \sf{  = 7789 \sqrt{2} \: } \:  \: metre

Again it is also given that the length of its diagonals is d metre

So

 \sf{d = 7789 \sqrt{2}  \: }

Hence

\displaystyle \sf{ \frac{d}{ \sqrt{2} }  \: }

 = \displaystyle \sf{ \frac{7789 \sqrt{2} }{ \sqrt{2} }  \: } \:  \:

\displaystyle \sf{  = 7789  \: }

RESULT

 \boxed{\displaystyle \sf{ \:  \:  \frac{d}{ \sqrt{2} }   = 7789 \:  \: \: }}

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Answered by mysticd
1

 Given \: the \: length \: of\:one \: side \: of \: a\\ square \: field (a) = 7789 \:m

 \pink{ Length \: of \: the \: diagonal (d) } \\= \sqrt {2} a

 \implies \red{\frac{d}{\sqrt{2}}} \\= a \\= 7789 \: m

Therefore.,

 \red{ Value \: of \: \frac{d}{\sqrt{2}}}\green {= 7789 \: m}

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