To the nearest hundredth of a centimeter, what is the length of the hypotenuse?
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A 45-45-90 triangle is half a square. So, the hypotenuse is the diagonal of the square.
The diagonal of the square is [tex]d\sqrt{2}[/tex], where d is the side of the square.
In your case, we have
[tex]d\sqrt{2}=110\sqrt{2}\approx 155.56[/tex]