Explain how the segment addition postulate can be modeled using a real-world object

To determine the length of AB, one must subtract BC from AC. If the length of AC is 18 and the length of BC is 4, then using this formula yields 18 - 4 = 14, so the length of AB is 14.

This postulate also allows a line segment that has only two known points to be broken into two line segments with the addition of a third point in between the endpoints. This is useful for proofs in geometry and analysis.

Segment Addition Postulate States that, if there are three Points A, B and C , such that, point C lies between A and B, then

  This Postulate states that

AC + BC=AB

Real World Object(Model)

Consider a wooden block , located at the base of floor and it touches the ceiling of roof .At a point a Nail is thrashed inside it, at a distance of 40 cm from the base.And Height of the nail from ceiling is 60 cm.The total height of Wooden Block is 100 cm.Proof Segment addition postulate for this Problem.

Proof:

Total Height of wooden Block=100 cm(PQ)

Height of nail from base =40 cm(PR)

Height of nail from Ceiling= 60 cm(QR)

⇒100=40+60

⇒PR+QR=PQ

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