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The input impedance of an equilateral triangular shape DRA is theoretically investigated. To the best of our knowledge neither any experimental result nor any design guide line is available in open literature to estimate the input impedance of a triangular shape DRA. So, a very simple CAD model based on cavity model analysis is proposed to compute the input impedance of an equilateral triangular shape DRA. The computed values for wide range of DRA parameters are presented in this paper. This structure is validated by employing electromagnetic software.