Answer:
area of a square= (Diagonal^2)/2
Explanation:
suppose that the square side is "a"
area of square is
Area= a^2
the diagonal "d" cut a square, making two right traingles
this fact lead us to use the pythagorian theorem which indicate that
d^2=a^2 +a^2
since we're solving for a square
2*(a^2) = d^2
dividing both side by 2
a^2= (d^2)/2
back the basic formula
area =a^2
:• area = (d^2)/2
