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Example Questions
Example Question #1 : Calculating The Length Of A Line With Distance Formula
A line segement on the coordinate plane has endpoints and
. Which of the following expressions is equal to the length of the segment?
Apply the distance formula, setting
:
Example Question #2 : Calculating The Length Of A Line With Distance Formula
What is distance between and
?
Example Question #3 : Calculating The Length Of A Line With Distance Formula
What is the distance between the points and
?
Let's plug our coordinates into the distance formula.
Example Question #4 : Calculating The Length Of A Line With Distance Formula
What is the distance between the points and
?
We need to use the distance formula to calculate the distance between these two points.
Example Question #5 : Calculating The Length Of A Line With Distance Formula
Consider segment which passes through the points
and
.
Find the length of segment .
This question requires careful application of distance formula, which is really a modified form of Pythagorean theorem.
Plug in everthing and solve:
So our answer is 156.6
Example Question #5 : Calculating The Length Of A Line With Distance Formula
What is the length of a line segment that starts at the point and ends at the point
?
Using the distance formula for the length of a line between two points, we can plug in the given values and determine the length of the line segment by calculating the distance between the two points:
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