Math Problem Statement
Point O is on line segment start overline, N, P, end overline NP . Given O, P, equals, 2OP=2 and N, O, equals, 17, commaNO=17, determine the length start overline, N, P, end overline, . NP .
Solution
Let's solve the problem step-by-step to find the length of .
Given:
- Point is on the line segment .
To Find:
The length of .
Solution:
Since point is on the line segment , we can say:
Now, substitute the given values:
Conclusion:
The length of is .
Would you like more details or have any questions?
Here are 5 related questions to expand your understanding:
- What is the midpoint of a line segment, and how is it calculated?
- How do you find the length of a line segment when given coordinates of its endpoints?
- How can you determine if three points are collinear?
- What is the distance formula in a coordinate plane?
- How is the section formula used to divide a line segment in a given ratio?
Tip: When solving geometry problems, always visualize the problem with a diagram to understand the relationships between points and lines.
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Math Problem Analysis
Mathematical Concepts
Geometry
Line Segments
Addition of Segment Lengths
Formulas
Length of line segment: NP = NO + OP
Theorems
Segment Addition Postulate
Suitable Grade Level
Grades 6-8
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