1. Warm-up
Use the Pythagorean theorem to find the missing length of the right triangle. Round to the nearest tenth.
Determine whether the given lengths are sides of a right triangle.
3. 8, 15, , 6, , 40, 41 c 2 17 8 5 b

2. 4-1 The Distance Formula
(x2,,y2) d
(x1,,y1)
(x2,,y1)

3. 4-1 The Distance Formula
(3,4)
(1,1)

4. 12-7 The Distance Formula

5. Steps to solving the Distance Formula
Write the distance formula
Substitute
Simplify
Evaluate Powers
Add
Use a calculator

6. D = 3.16 Let's Practice!! Example #1
Use the distance formula to find the distance
between (1, 4) and (-2, 3)
D = 3.16

7. Example #2
Use the distance formula to find the distance between the points, (10, 5) and (40, 45).
D = 50

8. 3. Find the distance between the points. Round to the nearest tenth.
3.6

9. 4. Find the distance between the points. Round to the nearest tenth.
5.4

10. 5. Find the distance between the points. Round to the nearest tenth.

11. The Midpoint Formula

12. The midpoint between (x1, y1) and (x2, y2) is
The Midpoint Formula
The midpoint of a line segment is the point on the segment that is equidistant from its endpoints
The midpoint between (x1, y1) and (x2, y2) is

13. Example
Find the midpoint of the line segment connecting the given points. (-2, 3) and (4, 2)

14. Example
Find the midpoint of the line segment connecting the given points. (200, 75) and (25, 175).

15. Example
Find the midpoint of the line segments.

16. Put it all together!
On a road trip, you hike 3 miles north and 2miles west. Starting at the same point, your friend hikes 4 miles east and 1 mile south.
How far apart are you?
If you want to meet for lunch, where could you meet so each person goes the same distance?

17. Class work
Mall Task

18. Homework
Practice Worksheet