Math Problem Statement
Solution
We are asked to find the value of and the length of in the given diagram. The line segment is divided into two parts:
- The total length of is given as
Since the total length of is equal to the sum of and , we can set up the equation:
Substitute the given values:
Now, solve for .
Step 1: Simplify the equation
Step 2: Subtract from both sides
Step 3: Find the length of
Now that we have , substitute it into the expression for :
Final Answer:
- Length of
Would you like further details or have any questions?
Here are some related questions to consider:
- What if the total length was given in a different form?
- How would the problem change if had a different expression?
- How do you apply the segment addition postulate in different scenarios?
- What happens if we rearrange points , , and on the line?
- How would you handle this if it was a three-dimensional geometry problem?
Tip: When solving geometric problems, it's important to clearly identify the known values and the relationships between segments to set up the correct equations.
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Segment Addition Postulate
Formulas
Segment Addition Postulate: KM = KL + LM
Theorems
Segment Addition Postulate
Suitable Grade Level
Grades 8-10
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