Prove Exterior Angle Bisector Property in Triangle ABC & Point D

[Chemistry101]

1. Prove the property of exterior angle bisectors discussed in class. Given triangle ABC and point D on line AB such that CD bisects the exterior angle at C, then BD/AD=BC/AC.

The only thing I can compute about this problem is the Property of Exterior Angle, but I don't know how to apply it to the problem.

Exterior Angle is the angle between any side of a shape, and a line extended from the next side. <-- That's is all I understand.

Help on where to start this problem out with.

Thanks.

 

[tiny-tim]

1. Prove the property of exterior angle bisectors discussed in class. Given triangle ABC and point D on line AB such that CD bisects the exterior angle at C, then BD/AD=BC/AC.

Hi Chemistry101!

You need to find (ie make) a similar triangle somewhere.

Hint: draw a line through D parallel to BC