SOLUTION: The sides of triangle CAB are in the ratio of 2:3:4. Segment B is the angle bisector drawn to the shortest side, dividing it into segments AD and DC. What is the length, in inches,

Algebra ->  Angles -> SOLUTION: The sides of triangle CAB are in the ratio of 2:3:4. Segment B is the angle bisector drawn to the shortest side, dividing it into segments AD and DC. What is the length, in inches,      Log On


   

Question 1085117: The sides of triangle CAB are in the ratio of 2:3:4. Segment B is the angle bisector drawn to the shortest side, dividing it into segments AD and DC. What is the length, in inches, of the longer subsegment of side AC if the length of side AC is 10 inches? Express your answer as a common fraction.
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.
Use the fact that 
    in a triangle, the angle bisector divides the side to which it is drawn, in two segments proportional to the ratio of two other sides of a triangle.

For the proof, 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 lessons are the part of this online textbook under the topic "Properties of triangles".