An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 4 cm long. A second side of the triangle is 7.4 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter.

Question

anonymous · Answer

44.4 cm, 3.2 cm ?

anonymous · Answer

I guess no one else knows the answer to this either. I thought I knew what I was doing here =(

anonymous · Answer

@Twis7ed ?

anonymous · Answer

@jim_thompson5910 ?

jim_thompson5910 · Answer

this page may help http://www.mathwarehouse.com/geometry/similar/triangles/angle-bisector-theorem.php it explains the angle bisector theorem (using visuals and example problems)

anonymous · Answer

$$\frac{ 4 }{6 }=\frac{ 7.4 }{ x }$$

anonymous · Answer

x=11.1 ?

anonymous · Answer

but I am confused as to if that is the longest or the shortest

anonymous · Answer

44.4, 11.1

anonymous · Answer

I'VE GOT IT!!! Thank you for that website. 11.1, 4.9

jim_thompson5910 · Answer

glad you were able to figure it out