Triangle Solutions Using the Incenter — Practice Geometry Questions - dummies

Triangle Solutions Using the Incenter — Practice Geometry Questions

By Allen Ma, Amber Kuang

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