Math Problem Statement
Solution
To solve for the length of segment in the triangle, we will use the distance formula:
For points and :
- ,
- ,
Substitute into the formula:
So, the length of segment is units. The correct answer is D. 13 units.
Would you like more details or have any questions?
Here are 5 related questions to expand on this topic:
- How do you calculate the distance between two points on a coordinate plane?
- What is the formula for finding the length of a diagonal line segment?
- How can you verify if three points form a right triangle?
- What would the length of segment be using the same formula?
- How do the coordinates of points affect the orientation of a triangle on a graph?
Tip: The distance formula is derived from the Pythagorean theorem, where the line segment between two points acts as the hypotenuse of a right triangle.
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Geometry
Distance Formula
Formulas
Distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Theorems
Pythagorean theorem
Suitable Grade Level
Grades 8-10
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