If B is between A and C, then AB+BC=AC.
In mathematics, this statement is known as the Segment Addition Postulate
In mathematics, this statement is known as the Segment Addition Postulate. It states that if B is a point located between points A and C on a line, then the sum of the lengths of AB and BC will be equal to the length of AC.
To understand this concept, let’s consider a line segment AC. If we introduce a point B on this line segment, we divide the segment AC into two smaller segments, AB and BC.
Now, according to the postulate, the combined length of AB and BC should equal the length of AC. This can be visualized by imagining a ruler. If you place the beginning of the ruler at point A and slide it to point B, the length that the ruler covers will be AB. Then, if you slide the ruler from point B to point C, the length will be BC. When you combine these two measurements by sliding the ruler from point A to point C, the length will be AC.
Mathematically, we can express this as AB+BC=AC.
This postulate is an essential concept in geometry and helps us understand and solve problems related to lengths and distances on a line segment.
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