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No, the hypotenuse of a triangle does not represent a third dimension. A triangle is a 2 dimensional figure consisting of only dimensions in terms of x and y. In order to be a 3d figure it would need dimensions defined in terms of x, y, and z.
it has no dimension
length refers to a linwhich is one dimensional. Area refers to a square which is two dimensional. Volume refers to a cube which is three dimensional. There is no fourth dimension. The zero dimension is a point with no mass.
The difference between 120 and 40 is in magnitude. In terms of dimensions, they are both pure numbers - that is, measures with no dimension.
The fourth dimension.