Distance Formula and Pythagorean Theorem

Distance Formula and Pythagorean Theorem

Grade 8th Grade · Math · 45 min· Teks

What's Included

Learning Objective

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

Warm-Up Video

Khan Academy · 3:40

Example finding distance with Pythagorean theorem

Guided Notes

3 key concepts

  • 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.

Practice Questions

11 questions · Multiple choice & Short answer

Exit Ticket

Quick comprehension check

Points A and B are located at (-2, 3) and (1, 7) respectively. Using the distance formula, find the distance between points A and B. Then, using the lengths of the legs of the right triangle formed by these points, verify the Pythagorean theorem.

Complete Lesson Package

Get all 3 ready-to-use resources:

Teacher Guide
Student Doc
Slides