How to Determine a Midpoint for Three People to Meet on a Map

Written by andrea hamilton
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How to Determine a Midpoint for Three People to Meet on a Map
Don't let distance keep you apart. (Jupiterimages/Brand X Pictures/Getty Images)

If you and two of your friends want to meet for lunch, coffee or a long-awaited reunion, finding the midpoint between the three of you is a good way to split the travel expenses. It also ensures that you each will drive a comparable amount of time to reach your destination, resulting in all of you arriving at around the same time. Determine the midpoint between your three locations with the help of some simple mathematics.

Skill level:
Moderately Easy

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Things you need

  • Map
  • Ruler
  • Pencil
  • Paper
  • Calculator

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  1. 1

    Label the three location points A, B and C. Draw lines that connect A to B and B to C.

  2. 2

    Use the scale key to discover how many miles are between points A and B by measuring the scale diagram and superimposing that measurement onto the space between the two points. For instance, if your city and your friend's city are 1 inch apart on the map and your map's scale is 1 inch to 20 miles, this means that your two cities are 20 miles apart.

  3. 3

    Determine the midpoint between points A and B by dividing the distance between them in half. Mark that midpoint. Draw a perpendicular line through the segment's midpoint. Repeat the process for the segment that runs between B and C.

  4. 4

    Settle the compass's needle at the point where the two perpendicular bisectors meet. Widen the hinge until the pencil rests on one of the location points. Tighten the hinge and twist the knob until all three points are intersected by the circle's circumference.

  5. 5

    Meet at the midpoint of the circle.

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