Question

18.1f the diagonal of a square is 8cm, find its side.
plz quick...​

Answer 1

Answer:

diagonal of a square = 8 cm

side =  ?

Step-by-step explanation:

Let AB=BC=CD=AD=a         [ All sides of square are equal ]

⇒  AC=8cm               [ Given ]

In right angled △ABC,

⇒  (AC)2=(AB)2+(BC)2          [ By Pythagoras theorem ]

⇒  (8)2=a2+a2

⇒  64=2a2

⇒  a2=32

⇒  Area of a square =32cm^2

side is 32/4 = 8 cm