SOLUTION: Hi, I'm having trouble with this particicular setup of the equation. I'm really not quite sure how to solve it. Any help would be greatly appreciated. Thanks! Stefani In trian

Question 469743: Hi,
I'm having trouble with this particicular setup of the equation. I'm really not quite sure how to solve it. Any help would be greatly appreciated. Thanks!
Stefani
In triangle ABC, the bisector of anlge B meets AC at K. AB= 18, BC= 24,and AC= 28. Find AK.
Answer by ccs2011(207) (Show Source): You can put this solution on YOUR website!
Whenever you have a triangle ABC split into 2 triangles by a bisector through angle B then the following relationship holds:

where AB=18, BC=24, and KC = 28 - AK

Solve for AK:
Multiply by 24 on both sides

Add AK on both sides
**Note: 4/3 + 1 = 4/3 + 3/3 = 7/3 **

Multiply by 3/7 on both sides

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