1. The Pythagorean Theorem

2. When do I need to use the Pythagorean Theorem?

3. What is the Pythagorean Theorem?c a b
Where a and b are legs and c is the hypotenuse

4. Applying the Pythagorean Theorem With Practice Problems

5. Practice Problems 15 x 20

6. Solve for T 12 13 T

7. Solve for G 10 6 G

8. Is this a right triangle???8 7 11

9. Is this a right triangle???8 15 17

10. Is this a right triangle???9 9 15

11. A 15 foot ladder leans up against a building
A 15 foot ladder leans up against a building. The foot of the ladder is 5 feet from the base of the building. How high up the wall, to the nearest foot does the ladder reach?

12. How to solve the problem
a2 + b2 = c Write formula
x = Substitute in
x = Solve for x
x2 = 200
x =

13. Tim rode 8 miles due north, then 3 miles due east
Tim rode 8 miles due north, then 3 miles due east. How far, to the nearest mile, is Tim from where he started? 3 8 H

14. How to solve the problem
a2 + b2 = c2
= c2
= c2
73 = c2
Remember: How am I suppose to leave my answer?
C =

15. Real World Applications

16. Find The Missing Side

17. What is the shortest distance to the hole?

18. How far away is home plate from 2Nd base?

19. Closing Remarks
The Pythagorean Theorem can be used only on _____triangles.
When should the Pythagorean Theorem be used?
What should be done first when solving a word problem involving the Pythagorean Theorem?
What must be done before writing the answer to a Pythagorean Theorem problem?