If a square tile is twelve inches on a side and It is cut across the diagonal to form two right triangles, then the length of the diagonal is 16.97 inches
The length of the sides of the square tile = 12 inches
It is cut across the diagonal to form two right triangles
To find the length of the diagonal we have to use the Pythagorean theorem
The square of hypotenuse = The square of side + square of side
Consider the length of the hypotenuse is x
Substitute the values in the equation
x^2 = 12^2 + 12^2
x^2 = 144 + 114
x^2 = 288
x = [tex]\sqrt{288}[/tex]
x = 16.97 inches
Therefore, the length of the diagonal is 16.97 inches
Learn more about Pythagorean theorem here
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