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Triss [41]
2 years ago
5

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

Mathematics
1 answer:
ankoles [38]2 years ago
5 0

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!

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