1. AIM: Pythagorean Triples
Do Now
I rented a car for 35 dollars a day with a government fee
of 2 dollars. If I have 422 dollars budgeted to rent the
car, how many days can I rent it?
EQUATION: _________________
Solve:
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2. Homework: Pages 452-453 #3, 6-8 all, 11, 12
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3. Guest Speaker
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4. Anticipatory Set
Matt rides his bike 12 miles west. Then he turns north and rides
another 20 miles before he stops to rest. How far is Matt from
his starting point when he stops to rest? (Draw a diagram to help
you with this problem)
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5. Find the missing sides of the following right
triangles and leave the answer in radical form.
7 in
4 in
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6. Find the missing sides of the following right
triangles and leave the answer in radical form.
9 cm
24 cm
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8. Pythagorean Triples
Any three positive integers that satisfy the formula
a2 + b2 = c2 form a Pythagorean triple.
a2 + b 2 = c 2
32 + 42 = 5 2 5
9 + 16 = 25 4
25 = 25
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9. When you multiply or divide a Pythagorean triple by the
same number, you get another Pythagorean triple.
So, (3 • 2, 4 • 2, 5 • 2), or (6, 8, 10), is a Pythagorean triple.
a2 + b2 = c2
62 + 82 = 102 10
36+ 64 = 100
8
100 = 100
6
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10. Can you find another Pythagorean Triples?
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11. Is the figure below a right triangle? Explain how you
determined your answer.
5 cm
9 cm
7 cm
(Figure not drawn to scale)
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12. Determine if the following triangles are right
triangles based on their side lengths
15
3 12 8
17
8
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13. Determine if the following triangles are right
triangles based on their side lengths
25
18
9
24 7
15
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14. Extra Practice
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17. BEFORE YOU LEAVE
The Babylonian Tablet Plimpton 322 was originally
written about 1800 BCE. This tablet contained a partial
list of Pythagorean Triples. Why do you think the
Babylonians wrote down this information and how do you
think they used their knowledge of Pythagorean Triples?
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18. Mr. Tjersland's Math 7
Homework: Pages 452-453 #13, 14, 20
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