Question

The diagonal of a square is x units. What is the area of the square in terms of x?

Answer 1

So you can divide a square into two 45-45-90 triangles as such

Answer 2

in 45-45-90 triangles, if hypotenuse=c and legs= a OR b,
\[c=a \sqrt{2}\]

Answer 3

It is OR because this is an iscosceles right triangle and those have congruent legs

Answer 4

in other words, the area of the square in terms of x is 1/2(x)^2

Answer 5

Well, hold on, how did you get there?

Answer 6

the area of the diagonal of a square is A = 1/2d^2, in this question d is x

Answer 7

Umm never heard of that one... if anything the area of a square is d^2/2