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
