1. Do Now
Take out homework for review

2. Skills Check When you are finished, turn into my inbox
Glue in “Pythagorean Triples” to p. 35 in MSG
Keep this open on your desk. We will take notes when everyone is finished

3. Pythagorean Triples
A Pythagorean Triple is a set of positive integers, a, b, and c, that fit the rule:
a2 + b2 = c2.

4. Pythagorean Triples Follow the process:
A.) Pick an odd positive integer.
B.) Square it.
C.) Determine consecutive integers whose sum equals B (divide B by 2 and take the 2 integers on either side of the answer).
D.) You have generated a triple with A and C.
Example: 7 49
24 & 25
7, 24,  
Example: 11
121
60 & 61
11, 60, 61

5. You try: Is a triangle with side measures of 3, 4, 5 a right triangle?
Pythagorean Triples
You try: Is a triangle with side measures of 3, 4, 5 a right triangle?
The following are all Pythagorean Triples. What pattern do you notice between these? 
3, 4, 5
6, 8, 10
9, 12, 15
12, 16, 20
15, 20, 25
* What are the next 3 Triples in this pattern?
18, 24, 30

6. Pythagorean Theorem – Prove It! Converse of Pythagorean Theorem
Add to Notes in MSG.
1.) Is a triangle with side measures of 30, 40, and 50 units a right triangle? Prove it!
Yes, because = 502 ( = 2500).
(If the sum of squares of legs equals square of hypotenuse, it is a right triangle.)
2.) Is a triangle with side measures of 6, 7, and 12 units a right triangle? Prove it!
No, because ≠ 122 ( or 85 ≠ 144).

7. Exit Ticket
Come up with a Pythagorean Triple that we have not discussed in class today! Off limits:
-3, 4, 5 or any multiple of this triangle
-7, 24, 25
-11, 60, 61