SOLUTION: Find the area of triangle a triangle if its two sides measure 6 in. and 9 in,. and the bisector of the angle between the sides is 4 squre root of 3 in.

Algebra ->  Triangles -> SOLUTION: Find the area of triangle a triangle if its two sides measure 6 in. and 9 in,. and the bisector of the angle between the sides is 4 squre root of 3 in.       Log On


   

Question 1012098: Find the area of triangle a triangle if its two sides measure 6 in. and 9 in,. and the bisector of the angle between the sides is 4 squre root of 3 in.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Better expression, the bisector for that angle is 4sqrt%283%29.

Use Triangle Angle Bisector Theorem, and Law of Cosines.

Draw the triangle, 6, 9, angle bisector between them being 4sqrt(3), the x side being adjascent to the 6, the y side adjascent to the 9. Let 2%2Aalpha be the angle measure between the 6 and the 9.



This is only a start, far from finished.