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The Distance formula exercise appears under the 8th grade (U.S.) Math Mission and High school geometry Math Mission. This exercise introduces and applies the distance formula.

Types of Problems

There is one type of problem in this exercise:

  1. Find the distance between the points on the coordinate plane: This problem has a coordinate plane and has two points labeled. The user is expected to use the distance formula to find the exact distance.
    Df1

    Find the distance between the points on the coordinate plane

Strategies

The distance formula and an ability to reduce radicals are needed to ensure success on this exercise.

  1. The distance formula is {\sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}}.
  2. The distance formula is precisely the Pythagorean Theorem on the rise and the run of the slope.

Real-life applications

  1. The distance formula is useful in architecture and drafting.
  2. The distance formula can be used to find straight-line distance in surveying or mapping.

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