Missing givens:
Length of side of the paper is 10 in
LN is the diagonal of the square
Answer:
C) 10√2 in
Step-by-step 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 :)