1. The Pythagorean Theorem
Stacie Evans

2. What is the Pythagorean Theorem?
The Pythagorean Theorem relates the side lengths of a right triangle.
In any right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.
a² + b² = c²
HYPOTENUSE a c b
LEGS

4. Use the Pythagorean Theorem to solve the following problems.

5. BASEBALL MATH
How far does the second baseman have to throw the ball in order to get the runner out before he slides into the home plate? (Round to the nearest whole number.)

6. In a baseball diamond, the distance between each of the three bases and home plate are 90 feet and all form right angles. Therefore, you can use the Pythagorean Theorem to solve the question.
2nd
3rd
1st
BASE

7. The Equation
a² + b² = c² (90)² + (90)²= c² = c² 16,200 = c² (√16,200) = (√c²) 127 = c

8. The Final Answer
The second baseman would have to throw the baseball 127 feet for the catcher to catch it before the runner slides onto home plate.

9. Television Math Television sets are generally classified diagonally.

10. The Problem
You want to purchase an entertainment center, but it holds only enough room in its cubicle for a 27 inch TV set.
The length of your TV is 15 inches, and the height of your TV is 12 inches.
The Question:
Will your TV fit into the cubicle?

11. ? 12
inches
15 inches

12. The Equation
a² + b² = c² (12)² + (15)² = c² = c² 369 = c² (√369) = (√c²) 19.2 = c

13. The Final Answer
The television is 19.2 inches. The television will fit into the 27 inch TV center.

14. The Miles from Where You Are
Cinderella and Prince Charming are meeting at the Palace on the corner of Perfect and Pretty Street. Cinderella is on Perfect Street and is 8 miles from the corner. Meanwhile, Prince Charming is on Pretty Street and is 7 miles from the corner. They are desperate to know how far away they are from each other. Can you find out how far apart they are?

15. 8 miles
Perfect Street ?
Pretty Street
7 Miles

16. The Equation
a² + b² = c² (8)² + (7)² = c² = c² 113 = c² (√113) = (√c²) 10.6 = c

17. Cinderella and Prince Charming are 10.6 miles apart.
The Final Answer
Cinderella and Prince Charming are 10.6 miles apart.

18. The Helicopter Flight
A helicopter flies 10 miles due north and then 24 miles due east. Then the helicopter flies in a straight line back to its starting point. What was the distance of the helicopter’s last leg back to its starting point?

19. 24 miles
10 miles ?

20. The Equation
a² + b² = c² (10)² + (24)² = c² = c² 676 = c² (√676) = (√c²) 26 = c

21. The Final Answer
The distance of the helicopter’s last leg was 26 miles.

22. Land Ho
How far is the sailboat from the lighthouse, to the nearest kilometer? (on the next slide)

23. 130 km
50 km ?

24. The Equation
a² + b² = c² (50)² + (130)² = c² = c² = c² (√19400) = (√c²) 139 = c

25. The sailboat is 139 kilometers away from the lighthouse.
The Final Answer
The sailboat is 139 kilometers away from the lighthouse.

26. the Pythagorean Theorem!
CONGRATULATIONS!
You have mastered
the Pythagorean Theorem!

27. Bibliography
Georgia HOLT Mathematics Course 3
Pythagoras