12. If line segment AD̅̅̅̅ is an angle bisector and AB = 6, AC = 8, and BD = 3, what must DC equal?

Question

12. If line segment AD̅̅̅̅ is an angle bisector and AB = 6, AC = 8, and BD = 3, what

must DC equal? (drawing triangle may help)

Answer 1

Use theorem: if a ray bisects an angle of a triangle, the it divides the opposite side into segments whose lengths are proportional to the lengths of the other two sides.

AB/AC = BD/DC

6/8 = 3/DC

DC = 4