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I was wondering why similar triangles have the property that the ratios of the similar sides are equal.

Or why the triangular functions (sin, cos,...) for a certain angle is fixed.

They are related, and if I can find one of them, the other can be proved easily.

I was thinking about the slope of the straight line since it is fixed and it is equal to the tan(angle which the line made with the positive x-axis) .

Any ideas?

Thanks.

Or why the triangular functions (sin, cos,...) for a certain angle is fixed.

They are related, and if I can find one of them, the other can be proved easily.

I was thinking about the slope of the straight line since it is fixed and it is equal to the tan(angle which the line made with the positive x-axis) .

Any ideas?

Thanks.

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