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:

  • KL=4KL = 4
  • LM=10LM = 10

We need to find the total length of KMKM.

Since point LL lies on line segment KMKM, the total length of KMKM is the sum of KLKL and LMLM.

KM=KL+LM=4+10=14KM = KL + LM = 4 + 10 = 14

Thus, the length of KMKM is 1414.

Would you like more details, or do you have any other questions?

Here are 5 related questions to expand on this:

  1. How do we calculate the midpoint of a line segment like KMKM?
  2. If LL is the midpoint of KMKM, what are the lengths of KLKL and LMLM?
  3. How would we calculate the distance between points KK and MM using their coordinates?
  4. What if LL were not on the segment KMKM but elsewhere; how would that change the solution?
  5. 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