SOLUTION: In triangle ABC, AX bisects angle BAC. Find the value of x. BX = 4x-5 XC = 2x AC = 8 BA = 6 Image of triangle: https://i.imgur.com/nIVWbbx.png

Algebra ->  Triangles -> SOLUTION: In triangle ABC, AX bisects angle BAC. Find the value of x. BX = 4x-5 XC = 2x AC = 8 BA = 6 Image of triangle: https://i.imgur.com/nIVWbbx.png      Log On


   

Question 1111277: In triangle ABC, AX bisects angle BAC. Find the value of x.
BX = 4x-5
XC = 2x
AC = 8
BA = 6
Image of triangle: https://i.imgur.com/nIVWbbx.png
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Angle Bisector Theorem.

AB/BX = AC/CX

6%2F%284x-5%29+=+8%2F2x

6%282x%29+=+8%284x-5%29

12x+=+32x+-+40

-20x+=+-40

x+=+2