Which of the following possibilities will form a triangle? Side = 15 cm, side = 7 cm, side = 7 cm

Question

Side = 15 cm, side = 7 cm, side = 9 cm

Side = 14 cm, side = 6 cm, side = 7 cm

Side = 14 cm, side = 6 cm, side = 8 cm

Answer 1

Only the second possibility will form a triangle: side = 15 cm, side = 7 cm, side = 9 cm.

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This property is satisfied by the second possibility but not by the others.