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An integer triangle or integral triangle is a triangle all of whose side lengths are integers. A rational triangle is one whose side lengths are rational numbers ; any rational triangle can be rescaled by the lowest common denominator of the sides to obtain a similar integer triangle, so there is a close relationship between integer triangles ...
The general popularity of brown over black extends to loafers, sometimes using exotic leathers such as suede and cordovan. Since the early 1980s, socks have been optional while wearing loafers. [25] Though originally men's shoes, [26] some styles of loafers, such as casual tassel and penny loafers, are also worn by women. Women's loafers tend ...
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This list of triangle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or in triangular arrays such as Pascal's triangle or triangular matrices, or concretely in physical space.
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Any triple of integers can serve as the the side lengths of an integer triangle as long as it satisfies the triangle inequality: the longest side is shorter than the sum of the other two sides. The number of integer triangles (up to congruence) with perimeter p is the integer closest to (p^2)/48 when p is even and to (p+3)^2/48 when p is odd.