Question

the diagonal of a square is 72cm . Find the side of the square​

Answer 1

$\huge\mathbb{SOLUTION:-}$

$\bold{Given:-}\begin{cases}\sf{Diagonal\:of\: square=72cm}\end{cases}$

$\huge\sf{\star{\red{To\: Find}}}$

• The side of square

$\bf\underline{\underline{According\:To\: Question:-}}$

• Find the side of square by the Pythagoras theorm

$\boxed{\sf{\blue{Diagonal {}^{2}=base{}^{2}+perpendicular {}^{2}}}}$

• Let the side of square be x

• Now the side of square

$\sf\implies (72){}^{2}=x{}^{2}+x{}^{2}\\ \\ \sf\implies 5184=2x{}^{2}\\ \\ \sf\implies \cancel{\frac{5184}{2}}=x{}^{2}\\ \\ \sf\implies 2595=x{}^{2}\\ \\ \sf\implies \sqrt{2592}=x\\ \\ \sf\implies x=25.91cm$

• The value of x is 25.91cm
• and this is the side of square

$\boxed{\star{\sf{\red{Side\:of\:square=25.91cm}}}}$

$\sf\underline{\underline{\purple{Extra\: brainly\: knowledge:-}}}$

$\sf 1) Area\:of\:square=side{}^{2}\\ \\ \sf 2) Perimeter\:of\:square=4\times side\\ \\ \sf 3) Diagonal\:of\:square=a\sqrt{2}$

#BAL

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