Calculating the length of a line with distance formula - GMAT Quantitative
Card 0 of 48
What is the distance between the points
and
?
What is the distance between the points and
?
Let's plug our coordinates into the distance formula.

Let's plug our coordinates into the distance formula.
Compare your answer with the correct one above
What is the distance between the points
and
?
What is the distance between the points and
?
We need to use the distance formula to calculate the distance between these two points.

We need to use the distance formula to calculate the distance between these two points.
Compare your answer with the correct one above
A line segement on the coordinate plane has endpoints
and
. Which of the following expressions is equal to the length of the segment?
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
:

![d = \sqrt{[A-(A+4)]^{2}+[(B+3)-B)]^{2}}](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/111064/gif.latex)

Apply the distance formula, setting
:
Compare your answer with the correct one above
What is distance between
and
?
What is distance between and
?
Compare your answer with the correct one above
Consider segment
which passes through the points
and
.
Find the length of segment
.
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
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
Compare your answer with the correct one above
What is the length of a line segment that starts at the point
and ends at the point
?
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:





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:
Compare your answer with the correct one above
What is the distance between the points
and
?
What is the distance between the points and
?
Let's plug our coordinates into the distance formula.

Let's plug our coordinates into the distance formula.
Compare your answer with the correct one above
What is the distance between the points
and
?
What is the distance between the points and
?
We need to use the distance formula to calculate the distance between these two points.

We need to use the distance formula to calculate the distance between these two points.
Compare your answer with the correct one above
A line segement on the coordinate plane has endpoints
and
. Which of the following expressions is equal to the length of the segment?
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
:

![d = \sqrt{[A-(A+4)]^{2}+[(B+3)-B)]^{2}}](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/111064/gif.latex)

Apply the distance formula, setting
:
Compare your answer with the correct one above
What is distance between
and
?
What is distance between and
?
Compare your answer with the correct one above
Consider segment
which passes through the points
and
.
Find the length of segment
.
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
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
Compare your answer with the correct one above
What is the length of a line segment that starts at the point
and ends at the point
?
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:





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:
Compare your answer with the correct one above
What is the distance between the points
and
?
What is the distance between the points and
?
Let's plug our coordinates into the distance formula.

Let's plug our coordinates into the distance formula.
Compare your answer with the correct one above
What is the distance between the points
and
?
What is the distance between the points and
?
We need to use the distance formula to calculate the distance between these two points.

We need to use the distance formula to calculate the distance between these two points.
Compare your answer with the correct one above
A line segement on the coordinate plane has endpoints
and
. Which of the following expressions is equal to the length of the segment?
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
:

![d = \sqrt{[A-(A+4)]^{2}+[(B+3)-B)]^{2}}](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/111064/gif.latex)

Apply the distance formula, setting
:
Compare your answer with the correct one above
What is distance between
and
?
What is distance between and
?
Compare your answer with the correct one above
Consider segment
which passes through the points
and
.
Find the length of segment
.
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
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
Compare your answer with the correct one above
What is the length of a line segment that starts at the point
and ends at the point
?
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:





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:
Compare your answer with the correct one above
What is the distance between the points
and
?
What is the distance between the points and
?
Let's plug our coordinates into the distance formula.

Let's plug our coordinates into the distance formula.
Compare your answer with the correct one above
What is the distance between the points
and
?
What is the distance between the points and
?
We need to use the distance formula to calculate the distance between these two points.

We need to use the distance formula to calculate the distance between these two points.
Compare your answer with the correct one above