Question

An angle bisector of a triangle divides the opposite side of the triangle into segments 8 cm and 2 cm long. A second side of the triangle is 4.9 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.

Answer 1

Bisector angle

Then apply relation

8/2 = L3 / L2

L2 = 4.9

then

8/2= 4 = L3/ 4.9

So, L3 = 4•4.9 = 19.6 cm

Also

8/2= 4= 4.9/L2

So ,L2= 4.9/4 = 1.2 cm

Then, answer is OPTION D) 19.6 cm, 1.2 cm