Finding the Distance between two Points Lesson

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In this section, we learn how to find the distance between two points on a coordinate plane. We begin by learning about the Pythagorean formula:
a^{2} + b^{2} = c^{2}. This formula is a relationship between the sides of a right triangle. Using our Cartesian coordinate
plane, we can connect any two points (x_{1},y_{1}),(x_{2},y_{2}) using a line. This line represents the hypotenuse
of the right triangle. After this is completed, we can draw lines to represent legs a and b. These legs are the horizontal and vertical
legs of the right triangle. We can measure the lengths of leg a along with leg b, and plug the results into the Pythagorean formula. This will
allow us to solve for c (the hypotenuse) or distance between our two points. The distance formula is a direct application of this process. Instead
of having to pullout a coordinate plane each time, we can simply label each point and plug into the formula. It relates c (the distance between the
two points) to the square root of a^{2} + b^{2}. a and b here represent the horizontal leg and vertical leg in the right triangle.

Finding the Distance between two Points Resources:

Videos:

Khan Academy - Video
Khan Academy - Video
Virtual Nerd - Video
Text Lessons:

Math WareHouse - Text Lesson
Khan Academy - Text Lesson
Purple Math - Text Lesson
Worksheets:

Math WareHouse - Worksheet
Khan Academy - Practice
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