Question

If the length of a diagonal of a square is 8 cm, find the length of the side of the square

Answer 1

sqre has some properties that it's diagonals are perpendicular bisectors of each other and are same
let's use pythagoras theorem
H2 =A2+B2
H2=4×4+4×4
H2=16+16
H2=32
H=ROOT32

Answer 2

The length of side of the square is 4√2.

Step-by-step explanation:

Given:

Here the length of a diagonal of a square is 8 cm.

Diagonal of square is given by $\sqrt{2}a$=8cm.   (given)

⇒$a=\frac{8}{\sqrt{2} }$cm

⇒$a=\frac{8\sqrt{2}}{\sqrt{2}\times\sqrt{2}}$cm

⇒$a=\frac{8\sqrt{2} }{2}$

⇒$a=4\sqrt{2}$

Hence the length of side of the square is $a=4\sqrt{2}cm$.