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

Example Questions

Example Question #11 : Coordinate Geometry

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 #1 : Calculating The Length Of A Line With Distance Formula

What is distance between  and ?

Explanation:

Example Question #1 : 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 #2 : 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 #17 : Lines

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:

So our answer is 156.6

Example Question #18 : Lines

What is the length of a line segment that starts at the point    and ends at the point    ?