1. Squared & Square Root
If you are given the area of a square, the length of 1 side is the square root of that area!
If you are given the length of one side, the area is that number squared!
???
17 units squared √8
???
8 units sq.
√17
√8 x √8 = 8

2. Baseball Field: What is the distance from 2nd Base to home plate
Baseball Field: What is the distance from 2nd Base to home plate? From Pedroia to Varitek
90 ft.
90 ft.
90 ft.
90 ft.

3. Pythagorean Theorem (Theorem 65)
In any right triangle, the sum of the squares of the legs equals the square of the hypotenuse.
leg2 + leg2 = hypotenuse2 or
a2+b2=c2

4. Pythagorean Theorem Right Triangle altitude a c hypotenuse b base
(leg) a c
hypotenuse b
base
(leg)

5. Pythagorean Theorem
Square s
A = s2 s

6. Geometric Demonstration
Pythagorean Theorem
Geometric Demonstration
A = c2
A = a2 a c b
A = b2

7. Geometric Demonstration
Pythagorean Theorem
Geometric Demonstration a c b

8. Geometric Demonstration
Pythagorean Theorem
Geometric Demonstration a c b

9. Geometric Demonstration
Pythagorean Theorem
Geometric Demonstration a c b

10. Geometric Demonstration
Pythagorean Theorem
Geometric Demonstration a c b

11. Pythagorean Theorem c2 a c b
a2 + b2 =

12. If a2 + b2 = c2 Solve for c: a=4 b=3 c=? Then: c2 = a2+ b2 c2= 42 + 32

13. Summarizer: If a2 + b2 = c2 Solve for c when: a=6 b=8 c=? a=5 b=12

14. How would you find the length of a leg?
a2 + b2 = c2
How would you find the value of c, if you knew the values of a and b?
c = √a2+ b2
How would you find the value of b, if you knew the values of a and c?
b = √c2- a2
How would you find the value of a, if you knew the values of b and c?
a = √c2- b2

15. Let’s Solve. What is the distance from 2nd Base to home plate
Let’s Solve! What is the distance from 2nd Base to home plate? (From Pedroia to Varitek)
90 ft.
90 ft.
90 ft.
90 ft.

16. Red Sox