CD Skripsi
Hubungan Mixtilinear Incircle Dan Mixtilinear Excircle Pada Garis Symmedian
This final project discusses various mixtilinear incircles and excircles related to the symmedian line of an arbitrary triangle. The symmedian is defined as the reflection of the median with respect to the angle bisector of a triangle, resulting in a proportional division of the triangle’s sides. The mixtilinear incircle is internally tangent to the sides of the triangle and the circumcircle, whereas the mixtilinear excircle is externally tangent. Utilizing the properties of the symmedian line, this final project develops a new formulation for calculating the radius and center of the mixtilinear incircle and excircle in an arbitrary triangle. By employing the formulas for the mixtilinear incircle radius and mixtilinear excircle radius in an arbitrary triangle, along with the properties of the sym- median, several theorems are constructed, leading to comparisons and products of mixtilinear elements whose values are equal to one.
Keywords: Mixtilinear incircle, mixtilinear excircle, symmedian, triangle
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