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)
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2. 2

3. Math Fun Night
March 21 at 6:30
Smithtown High School East
Math-A-Thon
Please Bring in Donations
when you have them
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4. Pythagorean Theorem Proof
Proofs of the Pythagorean Theorem
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5. 5

6. 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
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7. Leg:
Hypotenuse:
Pythagorean Theorem
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8. The sum of the squares
Leg:
of the legs of a right
triangle is equal to the
square of the
Hypotenuse:
hypotenuse
Pythagorean Theorem
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9. The sum of the squares Hypotenuse: The side opposite
of the legs of a right the right angle
triangle is equal to the
Leg: The sides of a right
square of the triangle that include the right
hypotenuse angle
Pythagorean Theorem
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10. The sum of the squares Hypotenuse: The side opposite
of the legs of a right the right angle
triangle is equal to the
Leg: The sides of a right
square of the
triangle that include the right
hypotenuse
angle
Pythagorean Theorem
c
a a 2 + b2 = c 2
b
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11. 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
11

12. 1
Pythagorean Theorem
Solve each problem individually. Round your final answer to the
nearest hundredth and include units with that final answer.
a2 + b 2 = c2
9 in
12 in
12

13. 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
13

14. 2
Pythagorean Theorem
Solve each problem individually. Round your final answer to the
nearest hundredth and include units with that final answer.
a 2 + b 2 = c2
17cm
15 cm
14

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

16. 3
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
16

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

18. 4
Pythagorean Theorem
Solve each problem individually. Round your final answer to the
nearest hundredth and include units with that final answer.
a2 + b 2 = c2
23 m
7m
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19. 5
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)
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20. Before You Leave
Why does this proof not work?
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21. Mr. Tjersland's Math 7
Homework: Pages 452-453 #1, 2, 4, 5, 9, 10, 27
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22. Attachments
Class Notes 3­21­06.doc
Pythagorean Theorem.gsp