Which of the following possibilities will form a triangle? Side = 12 cm, side = 5 cm, side = 6 cm Side = 13 cm, side = 5 cm, side = 8 cm Side = 12 cm, side = 5 cm, side = 8 cm Side = 13 cm, side = 5 cm, side = 6 cm

Answer:   Side = 12 cm, side = 5 cm, side = 8 cmStep-by-step explanation:In order to form a triangle with non-zero area, the sum of the shortest two sides must exceed the longest side.This will be the case for {5, 8, 12}, but not for any of the others. ___The side lengths {5, 8, 13} will form a triangle with zero area. This is acceptable according to one version of the triangle inequality (a+b≥c) but not according to the other version (a+b>c). Since you are apparently expected to find one "right answer", we assume the answer you want is the one shown above.