Question

Write your question here (Keep it simple and clear to get the best answer)if the diagonal of a square is 8cm.what is the area of a square ?

Answer 1

Answer:

Here, ABCD is a square.

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 =a2=32cm2