Pythagorean Theorem on Coordinate Plane

1. MONDAY • April 25, 2022

2. GRADED WARM-UP • Choose 2 out of the three problems to solve. • Draw a picture, show all your work and write your answer in the correct box. • Make sure your name is on it before you turn it in to your teacher.

3. What do you know about this image? What do you not know?

4. We have a right triangle on a coordinate plane. Using the Pythagorean Theorem we can find the unknown side. What sides do we know?

11. 6

12. 6

13. 6

14. 2 6

15. a2 + b2 = c2 2 6

16. a2 + b2 = c2 62 + 22 = c2 2 6

17. a2 + b2 = c2 62 + 22 = c2 36 + 4 = c2 2 6

18. a2 + b2 = c2 62 + 22 = c2 36 + 4 = c2 40 = c2 2 6

19. a2 + b2 = c2 62 + 22 = c2 36 + 4 = c2 40 = c2 √ = c 2 6 40

20. a2 + b2 = c2 62 + 22 = c2 36 + 4 = c2 40 = c2 √ = c (radical) c = 6.3 (rounded) 2 6 40

21. Let’s try this one.

22. Let’s try this one.

23. a2 + b2 = c2 32 + 42 = c2 9 + 16 = c2 25 = c2 √ = c (radical) c = 5 (rounded if needed) Let’s try this one. 3 4

24. Find the distance between (-2,-1) and (6,4)

25. Find the distance between (-2,-1) and (6,4) a2 + b2 = c2 52 + 82 = c2 25 + 64 = c2 89 = c2 √ = c (radical) c = 9.4 (rounded if needed) 5 8

26. Practice - Pythagorean Theorem

27. Answers - Pythagorean Theorem

28. Practice - Pythagorean Theorem

29. Answers - Pythagorean Theorem

30. Practice - Pythagorean Theorem

31. Answers - Pythagorean Theorem