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Sine Rule Demonstration

The sine rule states that every triangle has a constant that is calculated by dividing a side length by the sine of its opposite angle. That is, that for a triangle with vertices A, B C and sides a, b, c, as in the figure below, the number

is equal to



which in turn is equal to



Check this out on the applet below.
Is it possible to create two different triangles that have the same constant?