Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)
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In geometry, the point in a triangle where the angle bisectors of the triangle intersect is called the incenter. The following practice questions test your skills at finding the incenter of a given triangle.

Practice questions

Point I is the incenter of triangle CEN. Use the following figure and the given information to solve the problems.

image0.png
  1. If

    image1.png
  2. If

    image2.png

    is represented by 2c, and

    image3.png

    is represented by 2b + c, find the value of b.

Answers and explanations

  1. 26 degrees

    The incenter of a triangle is the point where the bisectors of each angle of the triangle intersect. A bisector divides an angle into two congruent angles.

    Find the measure of the third angle of triangle CEN and then cut the angle in half:

    image4.png
  2. 4

    The incenter of a triangle is the point where the bisectors of each angle of the triangle intersect. A bisector divides an angle into two congruent angles.

    image5.png

About This Article

This article is from the book:

About the book authors:

Allen Ma and Amber Kuang are math teachers at John F. Kennedy High School in Bellmore, New York. Allen, who has taught geometry for 20 years, is the math team coach and a former honors math research coordinator. Amber has taught all levels of mathematics, from algebra to calculus, for the past 14 years.

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