HUBUNGAN SEGITIGA NAGEL DENGAN SEGITIGA ASALNYA

Abstract

This paper discusses the relationship between the Nagel triangle and the original
triangle. The Nagel triangle is formed by connecting the three of tangent points of the
excircle to the sides of the triangle. This relationship can be shown through the
collinearity of centroid and incenter of the original triangle to Nagel point of the Nagel
triangle. Then, the relationship between the area of the Nagel triangle and the area of the
original triangle is shown.