Question

Is it area of square is half of square of its diagonal?

Answer 1

I think the answer is yes

Step-by-step explanation:

Area of square = (side)²             .......(1)

Diagonal of Square = √2 * side   .....(2)    

Squaring the diagonal,

∴( Diagonal )² = (√2 * side )²

                       = 2(side)²             .......(3)

So,

From (1)&(3)

Area of square =   ( Diagonal )²

                                     2

Thus proved.