Prove that the angle bisectors of any triangle are concurrent at a point I, called the incenter, that is equidistant from the three sides of the triangle. (Hint: Use the result of Problem 11; the argument is virtually the same as that for the concurrence of the perpendicular bisectors of the sides of a triangle, Problem 20, Section 3.3.)
*This result is needed for Problem 14, Section 3.8.
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