Question

The area of square is 50cm² the length of it's daigonal is?​

Answer 1

ANSWER✔

$\large\underline\bold{GIVEN,}$

$\dashrightarrow Area \:of\:square= 50 cm^2$

$\large\underline\bold{TO\:FIND,}$

$\dashrightarrow Diagonal\:of\:square.$

✯. FORMULA IN USE,

$\large{\boxed{\bf{ \star\:\: Diagonal\:of\:square:- \sqrt{2}a\:\: \star}}}$

$\large\underline\bold{SOLUTION,}$

$\therefore finding\: Side\: of \:square,$

$\dashrightarrow area\:of\: square= 50cm^2$

$\implies (s)^2= 50$

$\implies s= \sqrt{50}$

$\implies s=\sqrt{50}cm$

$\large{\boxed{\bf{ \star\:\: sude\:of\:square= \sqrt{50} cm\:\: \star}}}$

NOW, FINDING , LENGTH OF IT'S DIAGONAL,

$\sf\therefore length\:of\:the\:diagonal= \sqrt{ 2}a$

$\implies \sqrt{2} \times (\sqrt{50})$

$\implies \sqrt{2 \times 50}$

$\implies \sqrt{100}$

$\implies 10cm$

$\large{\boxed{\bf{ \star\:\: diagonal\: length= 10cm\:\: \star}}}$

$\large\underline\bold{DIAGONAL\:OF\:SQUARE= 10cm}$

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