SOLUTION: The figure shows △XYZ. MZ¯ is the angle bisector of ∠YZX. What is XM? Enter your answer as a decimal in the box. https://static.k12.com/nextgen_media/assets/8093

Algebra ->  Triangles -> SOLUTION: The figure shows △XYZ. MZ¯ is the angle bisector of ∠YZX. What is XM? Enter your answer as a decimal in the box. https://static.k12.com/nextgen_media/assets/8093      Log On


   

Question 1063854: The figure shows △XYZ. MZ¯ is the angle bisector of ∠YZX.
What is XM?
Enter your answer as a decimal in the box.
https://static.k12.com/nextgen_media/assets/8093640-NG_GMT_J_05_U08_Quiz_11.png
Found 2 solutions by rothauserc, ikleyn:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Angle bisectors divide the opposite side in the ratio of the adjacent sides
:
7 / 11 = 3.5 / x
:
7x = 11 * 3.5 = 38.5
:
x = 5.5
:
********
XM = 5.5
********
:

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
For the properties of an angle bisector in a triangle, see the lesson
    - On what segments the angle bisector divides the side of a triangle
in this site.


Also,  you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lesson is the part of this textbook under the topic "Properties of triangles".