**An angle bisectors of a triangle divides the opposite side of the triangle into segments 6 cm and 9 cm long. A second side of the triangle is 5.4 cm long. Find all possible length of the third side of the triangle. Round answers to the nearest 10th of a centimeter**

**Answer:**

let a, b and c be side of triangle ABC

Acc. to a rule :

a+b < c

i.e. 15 + 5.4 <c => 20.4 < c

so there are infinite possibilities of C between 1 to 20.3cms