Question

Two sides of a triangle are 18 ft and 23 ft. Find the range for the measure of the third side.

Answer 1

5<x<41

Explanation:

Assume the unknown side to be x

By triangle inequality theorem

Difference of two known sides < x< Sum if two known sides

⇒23-18<x<23+18

⇒5<x<41

Therefore the possible values for unknown side x lies between 5 ft and 41 ft.