In this paper some metric inequalities are presented which relate to different metric elements of a pair of triangles ABC and A'B'C' such as: (a,b,c), and (a',b ',c') sides lengths ;semiperimeters (s,s'); inradius (r,r'); circumradius (R,R'), etc, of the two triangles, respectively from the point of view of the Lorentz Spaces.
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