Math Problem Statement
Assume points A, B, C are on the same line. If AB=8 and BC=3, then what is the length of AC?
Solution
If points , , and are collinear and in order along the same straight line, the length of is simply the sum of and , as the points form a single segment.
Substitute the values:
Thus, the length of is .
Would you like a further breakdown or visual explanation?
Related Questions:
- What if and , but is between and ?
- How would the calculation change if the points were not collinear?
- If , , and are coordinates in 3D space, how would you calculate ?
- What is the significance of collinearity in geometry?
- How do you represent points and distances in a coordinate system?
Tip: Always verify the order of points when calculating distances to ensure accuracy.
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Math Problem Analysis
Mathematical Concepts
Geometry
Line Segments
Collinearity
Formulas
Length of a line segment: AC = AB + BC
Theorems
Segment Addition Postulate
Suitable Grade Level
Grades 6-8