Question

An angle bisector of a triangle divides the opposite side of the triangle into segments 5 cm and 3 cm long. A second side of the triangle is 7.5 cm long. Find all possible lengths for the third side of the triangle. (Hint: draw a picture of the triangle, label one side with 7.5 cm, and solve for the other side. Then, move the 7.5 cm to the other side and solve.)


a.
12.5 cm or 4.2 cm
c.
4.5 cm or 12.5 cm
b.
11.6 cm or 4.2 cm
d.
4.5 cm or 11.6 cm