Consider the following statements concer...

Consider the following statements concerning a `DeltaABC`
(i) The sides a,b,c and area of triangle are rational.
(ii) `a, "tan"(B)/(2),"tan"(C)/(2)`
(iii) `a, sin A sin B, sin C` are rational .
Prove that `(i) rArr(ii) rArr(iii)rArr(i)`

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