By the assumption of collinearity between points A, B and C and line segment properties, the length of the line segment BC is 7.
According to Euclidean geometry, a line is generated by two distinct points set on a plane and three points are collinear if they lie on one and same line. Algebraically speaking, we know that that line segments are contained in the following model:
AC = AB + BC
AC = AB + BC (1)
If we know that AC = 19 and AB = 12, then the length of the line segment BC is:
19 = 12 + BC
BC = 19 - 12
BC = 7
By the assumption of collinearity between points A, B and C and line segment properties, the length of the line segment BC is 7.
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