CK-12 Geometry Concepts

(Elliott) #1

5.3. Angle Bisectors in Triangles http://www.ck12.org


5.3 Angle Bisectors in Triangles


Here you’ll learn what an angle bisector is as well as the Angle Bisector Theorem, which states that if a point is on
the bisector of an angle, then the point is equidistant from the sides of the angle.


What if the cities of Verticville, Triopolis, and Angletown were joining their city budgets together to build a centrally
located airport? There are freeways between the three cities and they want to have the freeway on the interior of
these freeways. Where is the best location to put the airport so that they have to build the least amount of road? In
the picture below, the blue lines are the proposed roads. After completing this Concept, you’ll be able to use angle
bisectors to help answer this question.


Watch This


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CK-12 Foundation: Chapter5AngleBisectorsA


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James Sousa:Introduction toAngle Bisectors


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James Sousa:Proof of the Angle BisectorTheorem


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