Vertices of a Right Triangle

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In this lesson, we learn how to use our distance formula to determine if three points are the vertices of a right triangle. We can accomplish this by finding the distance between each pair of points given. Once we know each distance, we can match this up with our Pythagorean formula. If the three points are the vertices of a right triangle, then it will be true that the square of the largest distance or hypotenuse is equal to the sum of each other distance squared. This follows our a squared + b squared = c squared from the Pythagorean formula.
Vertices of a Right Triangle:
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