Angle bisector theorem

The  exercise appears under the Geometry Math Mission. This exercise applies the angle bisector theorem in triangles.

Types of Problems
There is one type of problem in this exercise:


 * 1) Find the missing value: This problem provides a triangle diagram that provides three pieces of information from among the two sides of a triangle and the two segments of the third side. The student is asked to find the value of the missing length.Abt1.png

Strategies
Knowledge of proportions would assist on this exercise, but really only multiplication and division are necessary to do this exercise accurately and efficiently.
 * 1) Answers will be rounded to one decimal place of accuracy.
 * 2) The problem turns into a proportion problem if done correctly.
 * 3) Find the product of the side of the triangle and the segment of the third side that are "opposite" of each other. Then divide by the other side or segment.

Real-life Applications

 * 1) Facts like this one from geometry are useful in architecture and other urban planning projects.