One side of a triangle measures 14cm. Another side of the same triangle measures 6cm. Which inequalities represent all possible lengths of the third side, x?

Answer 1

8cm<x<20 cm

or x>8, x<20

14+6=20. With 20 as the 3rd side, the triangle would collapse into a straight line.

Close to 20 cm, and the triangle would be very narrow.

14-6=8 cm. with 8 as the 3rd side, again, the triangle collapses into a straight line.

the third side can be any length between 8 and 20 centimeters