Question

In a square one diagonals is 16 cm .find the side of the square

Answer 1

length of one diagonal is 16cm.
we notice that the two sides of length "a" unit each and the diagonal make a right angled triangle.

so by Pythagoras theorem

a²+a²=16²
2a²=144
a²=144/2
=72
so,
a=√72

Answer 2

We know that the diagonal of a square is root 2a where :
a is a side , Given
root 2a = 16
squaring both sides
${2a }^{2} = 256 {cm }^{2}$
${a}^{2} = 256 \div 2 {cm}^{2}$
${a}^{2} = 128 {cm}^{2}$
$a = \sqrt{128 {cm}^{2} }$
$a = \sqrt{64 \times 2cm}$
$a = \sqrt[8]{2cm \:} \: ans$