A triangle has corners at points A, B, and C. Side AB has a length of 56 . The distance between the intersection of point A's angle bisector with side BC and point B is 9 . If side AC has a length of 42 , what is the length of side BC?

1 Answer
Dec 21, 2017

Length of side BC = 21

Explanation:

Let the point where the angle bisector intersects with
side BC be D

"using the "color(blue)"angle bisector theorem"

(AB)/(AC)=(BD)/(DC)

56 / 42 = 9 / DC

DC = (9*56) / (42) = 12

BC = BD+DC= 9+12 =21