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: So our answer is 156.6

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:     All GMAT Math Resources 