Question

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of a triangle are 15 ft and 27 ft. Find the possible lengths of the third side?

The third side must have a length greater than
? ft and less than
? ft.

Answer 1

Possible length of third side is `12< x <42 or x|(12,42)` ft.

Explanation:

`15+27=42 ; 27-15=12` . Therefore the third side must be

less than `42` ft ant greater than `12` ft. Therefore

possible length of third side of size `x` is

`12< x <42 or x|(12,42)` ft [Ans]