Question

the length of the diagonal of a square is 8cm. find its area​

Answer 1

Step-by-step explanation:

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Answer 2

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

=a

2

+a

2

⇒ 64=2a

2

⇒ a

2

=32

⇒ Area of a square =a

2

=32cm

2