1. AIM: Pythagorean Theorem
Do Now
What is the radius of a circle if the area is
50 square centimeters? Round your answer
to the nearest centimeter. (A = πr2)
1

2. 2

3. Pythagorean Theorem Proof
Interactive Proof
3

4. 4

5. Anticipatory Set:
Below is a rectangle that is 24 centimeters long and 10
centimeters wide. How can we find the length of the diagonal?
10 cm
24 cm
5

6. Leg:
Hypotenuse:
Pythagorean Theorem
6

7. The sum of the squares
Leg:
of the legs of a right
triangle is equal to the
square of the
Hypotenuse:
hypotenuse
Pythagorean Theorem
7

8. The sum of the squares
Leg: The sides of a right
of the legs of a right
triangle that include the right
triangle is equal to the angle
square of the
Hypotenuse: The side opposite
hypotenuse
the right angle
Pythagorean Theorem
8

9. The sum of the squares
Leg: The sides of a right
of the legs of a right
triangle that include the right
triangle is equal to the angle
square of the
Hypotenuse: The side opposite
hypotenuse
the right angle
Pythagorean Theorem
c
a a2 + b2 = c2
b
9

10. Pythagorean Theorem
Solve each problem individually. Round your final answer to the
nearest hundredth and include units with that final answer.
9 in
12 in
10

11. Pythagorean Theorem
Solve each problem individually. Round your final answer to the
nearest hundredth and include units with that final answer.
a2 + b2 = c2
9 in
12 in
11

12. Pythagorean Theorem
Solve each problem individually. Round your final answer to the
nearest hundredth and include units with that final answer.
17 cm
15 cm
12

13. Pythagorean Theorem
Solve each problem individually. Round your final answer to the
nearest hundredth and include units with that final answer.
a2 + b2 = c2
17cm
15 cm
13

14. Pythagorean Theorem
Solve each problem individually. Round your final answer to the
nearest hundredth and include units with that final answer.
5m
8m
14

15. Pythagorean Theorem
Solve each problem individually. Round your final answer to the
nearest hundredth and include units with that final answer.
5m a2 + b2 = c2
8m
15

16. Pythagorean Theorem
Solve each problem individually. Round your final answer to the
nearest hundredth and include units with that final answer.
23 m
7m
16

17. Pythagorean Theorem
Solve each problem individually. Round your final answer to the
nearest hundredth and include units with that final answer.
a2 + b2 = c2
23 m
7m
17

18. A checkerboard is 10
inches long on each
side. What is the
length of the diagonal
from one corner to
another? (Draw a
diagram to help solve
the problem)
18

19. Before You Leave
Why does this proof not work?
19

20. Mr. Tjersland's Math 7
Homework: Pages 452-453 #1, 2, 4, 5, 9, 10, 27
20

21. Attachments
Class Notes 3­21­06.doc
Pythagorean Theorem.gsp