Asquare sheet of paper is folded diagonally. what is the length of ln? a) 10 in. b) 20 in. c) 10√2 d) 5√4

Missing givens:
Length of side of the paper is 10 in
LN is the diagonal of the square

C) 10√2 in

Explanation:
A square has 4 equal sides. This means that all four sides of the square are equal to 10 in.
Now, folding a square diagonally will lead to the formation of two congruent right-angled triangles (check the attachment).
We need to get the length of LN which is the hypotenuse of the right-angled triangle.
This means that we can apply the Pythagorean theorem:
(hypotenuse)² = (side1)² + (side2)²
(LN)² = (10)² + (10)²
(LN)² = 200
LN = √200
LN = 10√2 in

Hope this helps :)