2. Pythagorean Theorem What is it and how does it work? a 2 + b 2 = c 2

3. Pythagorean Theorem Find the legs and hypotenuse Square the legs (this is a and b) Add them together Square root them This is the length of the hypotenuse (this is c)

4. leg hypotenuse Right angle The Right Triangle

5. 1. Square both legs 3 ft 4 ft 3 ft 13 456 78 9 1 2 23 4 5678 910 11 12 1314 15 16

6. 2. Count the total squares 3 ft 4 ft 3 ft 13 456 78 9 1 2 23 4 5678 910 11 12 1314 15 16 9 + 16 = 25

7. 3 ft 4 ft 3 ft 13 456 78 9 1 2 23 4 5678 910 11 12 1314 15 16 9 + 16 = 25 3. Put that number of squares on the hypotenuse 2 4 6 8 10 12 14 16 18 20 22 24 1 3 5 7 9 11 13 15 17 19 21 23 25

8. 3 ft 4 ft 3 ft 13 456 78 9 1 2 23 4 5678 910 11 12 1314 15 16 9 + 16 = 25 4. Count the number of squares that touch the hypotenuse. 2 4 6 8 10 12 14 16 18 20 22 24 1 3 5 7 9 11 13 15 17 19 21 23 25 # = 5

9. 3 ft 4 ft 3 ft 13 456 78 9 1 2 23 4 5678 910 11 12 1314 15 16 9 + 16 = 25 5.That number is the length of the hypotenuse. 2 4 6 8 10 12 14 16 18 20 22 24 1 3 5 7 9 11 13 15 17 19 21 23 25 # = 5 Length = 5

10. Summary Find the legs and hypotenuse. Square the legs (this is a and b) Add them together Square root them This is the length of the hypotenuse (this is c)