Answer:
Explanation:
Given point B between A and C on line segment AC, with AC = 48 cm and BC = 12 cm, you want to know the lengths of AC and AB.
Segment addition theorem
The segment addition theorem tells you the whole is the sum of its parts.
AC
The diagram tells you that the length of AC is 48 cm. (Too easy.)
AB
The segment addition theorem says ...
AB + BC = AC
AB + 12 cm = 48 cm
AB = 36 cm . . . . . . . . . . . subtract 12 cm from both side of the equation
The length of AB is 36 cm.
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