An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6.9 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.
A. 41.4 cm, 8.3 cm
B. 30 cm, 5.8 cm
C. 41.4 cm, 4.3 cm
D. 8.3 cm, 5.8 cm

Question

An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6.9 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.
	A.	41.4 cm, 8.3 cm
	B.	30 cm, 5.8 cm
	C.	41.4 cm, 4.3 cm
	D.	8.3 cm, 5.8 cm

sophia333 · Answer

BD/DC=6/5=AB/AC, in which  AC=6.9,  
then we solve for AB=AC*6/5=8.28

sophia333 · Answer

BD/DC=6/5=AB/AC, where  AB=6.9,  
then we solve AC=AB*5/6=5.75,

sophia333 · Answer

So have you gotten the answers-

ah42632 · Answer

nope. still confused. srry

sophia333 · Answer

So what did i say the answer was to both those problems we just solved-

ah42632 · Answer

ohhhhhhh. I get it now. if i round up then it would be D.  8.3, 5.8

YECR · Answer

BD/DC=6/5=AB/AC, in which  AC=6.9,  
then we solve for AB=AC*6/5=8.28
like he said If you ever neeed help just ask one of us or tag anyone