Question

length of diagonal of a square is 2root2 ; then its side is ​

Answer 1

Answer:

I hope this will helpful to you

Answer 2

Answer:

Length of the side is 2 cm.

Step-by-step explanation

Given,

Length of diagonal of the square=$2\sqrt{2} cm$

$To$ $find$,

length of side of the square

$Solution,$

Let the side of the square be $a$ cm

so,

$a$ is perpendicular to base whose length is also

and diagonal of length $2\sqrt{2}$cm is the hypotenuse

this forms a right angle triangle.

By Pythagoras theorem,

$Hypotenuse^{2}=Perpendicular^{2} +base^{2}\\(2\sqrt{2})^{2} = a^{2} + a^{2}\\8=2a^{2}\\a^{2}=\frac{8}{2}\\a^{2}=4\\a=\sqrt{4}\\a=2 cm$

hence length of the side is 2 cm.

here is the required answer

Hope it will help you.