Question #N519
A square has a side length of 6. What is the length of the diagonal of the square?
A. 6
B. 6\sqrt{2}
C. 12
D. 12\sqrt{2}
Correct Answer is: B
The diagonal of a square divides the square into two right triangles. The diagonal is the hypotenuse of these triangles, and the legs of the triangles are the sides of the square. Therefore, we can use the Pythagorean theorem to find the length of the diagonal. Let the length of the diagonal be . Then, . Simplifying this equation gives . Taking the square root of both sides gives .