An angle bisectors of a triangle divides the opposite side of the triangle into segments 6 cm and 9 cm long

angle-bisectors

#1

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