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For a,b,c in F^* the triple Massey product < a,b,c> of the corresponding elements of H^1(F, mu_2) contains 0 if and only if there is x in F^* and y in F[\\sqrt{a}, \\sqrt{c}]^* such that b x^2 = N_{F[\\sqrt{a}, \\sqrt{c}]/F}(y), where N_{F[\\sqrt{a}, \\sqrt{c}]/F} denotes the norm, and F is a field of characteristic different from 2. These varieties satisfy the Hasse principle by a result of D.B. Lee and A.R. Wadsworth. 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