In this article we observe nedians and nedian triangles of ratio $\eta$ for a given triangle. The locus of vertices of the nedian triangles for $\eta\in\mathbb{R}$ is found and its correlation with isotomic conjugates of the given triangle is shown. Furthermore, the curve on which lie vertices of a nedian triangle for fixed $\eta$, when we iterate nedian triangles, is found.
We aim to produce formulae for a quadrilateral which correspond to the sine and cosine rule for a triangle. Subsequently, we apply these results to solve problems involving a quadrilateral.
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