What will be the length of diagonal of square whose area is 484 sq cm...what is the formula to find diagonal of square...
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firstly find the side of square
area of square=side^2
484=side^2
side=22 cm
as we know that diagonal of square perpendicular bisects each other
so there is right angle is formed in which sides forming right angle are congruent
and hypotenus is side of square
Let side forming right angle be x
so by Pythagoras theorem
x^2+x^2=22^2
2x^2=22×22
x^2=22×11
x^2=242
x=root242
=11×root2
diagonal =22×root2
area of square=side^2
484=side^2
side=22 cm
as we know that diagonal of square perpendicular bisects each other
so there is right angle is formed in which sides forming right angle are congruent
and hypotenus is side of square
Let side forming right angle be x
so by Pythagoras theorem
x^2+x^2=22^2
2x^2=22×22
x^2=22×11
x^2=242
x=root242
=11×root2
diagonal =22×root2
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