Question

Question 19 Only, Please show your work.

Solve the problem.

Answer 1

`5√(2)`

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=√(50)\\h=5√(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!