Mathematics 10 DISTANCE FORMULA presentation

Distance Formula

1. PAGUDPUD INTEGRATED SCHOOL SITE MAP

2. Ma’am Janina Ma’am Reema

3.     HORIZONTAL DISTANCE Therefore, the distance between Ma’am Janina and Ma’am Reema is 6 units.  

4. Ma’am Hazel Ma’am Ever

5.     VERTICAL DISTANCE Therefore, the distance between Ma’am Hazel and Ma’am Ever is 14 units.  

6. SAN FERNANDO CITY PROPER

7. Allister is an entrepreneur who sells facial products. He went to San Fernando City proper to deliver an order from a girl. While waiting for the chat of his client, he stayed at McDonald’s. Then, the girl messaged him that she is at the plaza stage. How far is Allister from his client?

11. OR         DISTANCE FORMULA

12. EXAMPLES Find the distance of the points in the graph.         First point second point Therefore, the distance between the two points and is 10 units.  

13. Find the distance between and .   Therefore, the distance between the two points and is units.   EXAMPLES

15.   Therefore, the distance between Allister and his client is or approximately 11.70 units.  

16. EXAMPLES Prove that a triangle with coordinates , and is a right triangle.        

17. EXAMPLES SIDE         SIDE   SIDE  

18. EXAMPLES    ? ? Since the sides of the triangle satisfy the Pythagorean theorem, therefore, the triangle is a right triangle.

19. Group Work

20. 5 minute sand timer 5 minutes End

21. PROBLEM: Tom  owns a tobacco field and has placed fences around four poles,  A ,  B ,  C ,  D  that delimit the edges of the field. He needs to drive around the field every day to check whether anybody has tried to break in. The four poles are located at: How many miles will Tom drive if he starts at pole  A  and drives around the entire border of the field?  

22. -10 -20 -18 -16 -14 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 14 16 18 20 20 18 16 14 12 10 8 6 4 2 -2 -4 -6 -8 -12 -14 -16 -18 -20 -10 A        

23. -10 -20 -18 -16 -14 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 14 16 18 20 20 18 16 14 12 10 8 6 4 2 -2 -4 -6 -8 -12 -14 -16 -18 -20 -10

24. Solution:    

25. Solution:    

26. Solution: ; ; ; Therefore, Tom will drive 45 miles to drive around the entire field.  

27. ASSIGNMENT What are t he coordinates of points on the x-axis which are at a distance of 5 units from the point