Distance Formula and Pythagorean Theorem

Distance Formula and Pythagorean Theorem

8th Grade · Math · 45 min· Teks

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Learning Objective

I can use the distance formula to verify the Pythagorean theorem.

  • 1

    To find the distance between two points, create a right triangle where the line connecting the points is the hypotenuse.

  • 2

    The length of the legs of the triangle can be determined by the difference in the x-coordinates and y-coordinates of the points.

  • 3

    Using the Pythagorean theorem, a² + b² = c², where c is the distance between the two points, we find that the distance, c, is equal to the square root of 85.