Question

Question 19 Only, Please show your work. Solve the problem.

Answer 1

Answer:

$5\sqrt{2}$

Step-by-step explanation:

Draw a diagonal (line segment from one corner to the opposite corner).  You'll form two right triangles with the diagonal being the hypotenuse of both triangles.

Use the Pythagorean Theorem:  (leg)^2 + (leg)^2 = (hypotenuse)^2.

Let  h  represent the length of the hypotenuse.

$h^2 = 5^2+5^2\\h^2=25 + 25\\h^2 =50\\h=\sqrt{50}\\h=5\sqrt{2}$

The question is just a bit vague. It should say opposite corners.  I'm assuming the question does not mean the length of one side!