Which of the following possibilities will form a triangle? aSide = 15 cm, side = 6 cm, side = 8 cm b Side = 15 cm, side = 6 cm, side = 9 cm cSide = 16 cm, side = 9 cm, side = 6 cm dSide = 16 cm, side = 9 cm, side = 8 cm

9514 1404 393Answer:   d.  Side = 16 cm, side = 9 cm, side = 8 cmStep-by-step explanation:In order for three lengths to form a triangle, the sum of the shorter two must exceed the longer.   a: 6+8 = 14, does not exceed 15   b: 6+9 = 15, does not exceed 15*   c: 6+9 = 15, does not exceed 16   d: 8+9 = 17, exceeds 16, so makes a triangle_____* One version of the triangle inequality requires only that the sum of the short sides be greater than or equal to the longest side. In such a triangle, the appearance is that of a line segment, and the area is zero. Many authors do not consider that to be a legitimate triangle.