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Dylan has a square piece of metal that measures 10 inches on each side. He cuts the metal along the diagonal, forming two right triangles. What is the length of the hypotenuse of each right triangle to the nearest tenth of an inch? The length of the hypotenuse of each right triangle is _________ inches.

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thepingu

Answer:

14.14 inches

Step-by-step explanation:

We know that the diagonal of a square is [tex]\sqrt{2}a[/tex], where a is the length of the side.

The diagonal of a square is the hypotenuse of this triangle.

That means the hypotenuse will be equal to [tex]\sqrt{2}\cdot10[/tex]

This can be simplified to [tex]\sqrt{200}[/tex], which, rounded to the nearest hundredth is 14.14.

Hope this helped!

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