Page 160 - IM_FL_Geometry_Print Sample

As the salt piles up and reaches a maximum height, new grains of salt will fall o toward whichever side of the triangle is closest. Points that lie along an angle bisector will be the same distance from each of the sides that form that angle. This is why we see ridges form in the salt. The point where two angle bisectors meet is the same distance from all three sides of the triangle (It’s the same distance from the rst and second sides, and the same distance from the second and third sides, so it’s the same distance from all three sides). That point where the three angle bisectors meet is called the incenter of the triangle. It is a point that is the same distance from all three sides of the triangle. Here is
triangle
which is the same distance away from all three sides.
with its angle bisectors shown.
is the same distance away from sides
. Point is the same distance away from sides and . Point is the incenter,
Point and
Unit 7
Lesson 8: A Special Point 87