Math Problem Statement
Point L is on line segment start overline, K, M, end overline KM . Given L, M, equals, 10LM=10 and K, L, equals, 4, commaKL=4, determine the length start overline, K, M, end overline, . KM .
Solution
We are given that:
We need to find the total length of .
Since point lies on line segment , the total length of is the sum of and .
Thus, the length of is .
Would you like more details, or do you have any other questions?
Here are 5 related questions to expand on this:
- How do we calculate the midpoint of a line segment like ?
- If is the midpoint of , what are the lengths of and ?
- How would we calculate the distance between points and using their coordinates?
- What if were not on the segment but elsewhere; how would that change the solution?
- How can the length of a line segment change in different coordinate planes?
Tip: When a point divides a line segment into two parts, the sum of the two parts always equals the total length of the segment.
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Math Problem Analysis
Mathematical Concepts
Geometry
Line Segments
Addition of Segment Lengths
Formulas
KM = KL + LM
Theorems
Segment Addition Postulate
Suitable Grade Level
Grades 6-8