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,

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(52803) (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".

RELATED QUESTIONS
the sides of a triangle are in the ratio 4:3:2. What is the length of the longest side... (answered by josmiceli)

The sides of a triangle are in the ratio of 2:3:4.If the shortest side measures 6cm.what... (answered by Edwin McCravy)

The sides of a triangle are in the ratio 5: 2: 4. The longest side of the triangle is 15 (answered by rvquartz)

The sides of a triangle are in the ratio of 2:3:4.If the shortest side measures 6cm.Find... (answered by josmiceli)

Two Sides of a triangle are AB=34cm and AC=25cm and their included angle measures 62... (answered by Fombitz)

The three sides of a triangle are in the ratio 2:4:5. If the shortest side of the... (answered by MathLover1)

The sides of a triangle are in the extended ratio of 3:2:4. If the length of the shortest (answered by edjones)

1.the sides of a triangle measures 20cm, 25,cm and 30 cm. Find the length of the... (answered by MathLover1)

Is it possible for the trisectors of an angle of a triangle to divide a side in a 1:2:4... (answered by MathLover1,ikleyn)