![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
By Angle bisector theorem in a triangle the angle bisector divides the opposite
\side into segments that have the same ratio as the other two sides, ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d5e3686330d2304e4c965453e372b990.png\")
.
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d5e3686330d2304e4c965453e372b990.png\")
(Write the equation by Angle bisector theorem)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=16a8583f03a3e989c8eefa96ef6f3193.png\")
(Apply cross products property)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=562751533506d76a56a4a3464fed8c0b.png\")
(Multiply)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=2047cd1ba72137543406ce7556c85ea2.png\")
(Divide each side by 24)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=efef45aa24b7ce5bfb845d25a630ad9c.png\")
(Simplify)![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The value of x is 6.75.