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Eduardo takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 45 centimeters long and 60 centimeters wide, how long is the diagonal cut that Eduardo made?

Sagot :

Given:

Length of sheet of paper = 45 centimeters

width of the sheet of paper = 60 centimeters

To find:

The length of the diagonal cut that Eduardo made.

Solution:

We know that, a sheet of paper is a rectangle.

Diagonal of a rectangle is

[tex]Diagonal=\sqrt{length^2+width^2}[/tex]

Putting length = 45 and width = 60, we get

[tex]Diagonal=\sqrt{(45)^2+(60)^2}[/tex]

[tex]Diagonal=\sqrt{2025+3600}[/tex]

[tex]Diagonal=\sqrt{5625}[/tex]

[tex]Diagonal=75[/tex]

Therefore, the length of the diagonal cut that Eduardo made is 75 centimeters.