A triangle has corners points A, B, and C. Side AB has a length of $5$ . The distance between the intersection of point A's angle bisector with side BC and point B is $3$ . If side AC has a length of $9$ , what is the length of side BC?

Question

2569 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-21T10:49:54

Length of side BC = 8.4

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

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

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

$5 / 9 = 3 / (DC)$

$DC = (3*9) / 5 = 5.4$

$BC = BD+DC= 3+5.4 =8.4$

A triangle has corners points A, B, and C. Side AB has a length of 5 5 . The distance between the intersection of point A's angle bisector with side BC and point B is 3 3 . If side AC has a length of 9 9 , what is the length of side BC?