Question

What is the area of a square with a diagonal of the square root of 2?

Answer 1

1

Answer 2

a. 1/2
b. 1
c. \[\sqrt{2}\]
d. 2
e. 4

Answer 3

area = 1x1 = 1

Answer 4

diagonal of the square to a side is
\[\sqrt{2}\] so if the diagonal is the square root of 2, the side is 1
and the square has area 1

Answer 5

(V2) ^2 = 2a^2
-> a^2 = 1
Thus A = a2 = 1

Answer 6

Also, the area of a square is half the product of its 2 congruent diagonals.

A = (1/2) √2 * √2 = (1/2) *2 = 1