# GMAT Math : Calculating the length of a line with distance formula

## 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?

Explanation:

Apply the distance formula, setting

:

### Example Question #2 : Calculating The Length Of A Line With Distance Formula

What is distance between  and ?

Explanation:

### Example Question #3 : Calculating The Length Of A Line With Distance Formula

What is the distance between the points  and ?

Explanation:

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 ?

Explanation:

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 .

Explanation:

This question requires careful application of distance formula, which is really a modified form of Pythagorean theorem.

Plug in everthing and solve:

### Example Question #6 : 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    ?

Explanation:

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: