1. A man tries to get on a bus with a 5 ft fishing pole
A man tries to get on a bus with a 5 ft fishing pole. The bus driver tells him he isn’t allowed on the bus carrying anything longer than 4 ft. He leaves the bus goes and goes into a store. He gets on the next bus and rides it home with no problems. He got his fishing pole home and it remained undamaged. What did the man buy in the store?
(no it wasn’t a post office
and he didn’t mail the pole to his house)

2. Pythagorean Theorem
Pythagorean Theorem: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
If Δ is right, then a2 + b2 = c2

3. Pythagorean Triples
Any three whole numbers which satisfy the Pythagorean theorem are called a Pythagorean Triple
( 3, 4, 5) ( 5, 12, 13) ( 7, 24, 25) ( 8, 15, 17) ( 9, 40, 41) (11, 60, 61) (12, 35, 37) (13, 84, 85) (16, 63, 65) (20, 21, 29) (28, 45, 53) (33, 56, 65) (36, 77, 85) (39, 80, 89) (48, 55, 73) (65, 72, 97)

4. Proofs Over 500 unique proofs of the Pythagorean theorem!

5. Converse of the Pythagorean Theorem
If the sum of the squares of two sides of a triangle is equal to the square of the third side, then the triangle is right.
If a2 + b2 = c2, then the triangle is right

6. Inequalities? What if a2 + b2 < c2 What if a2 + b2 > c2
Obtuse Triangle
What if a2 + b2 > c2
Acute Triangle b A C B a c

7. What kind of triangle?
Ex: 5, 12, 14 side2 + side2 hypotenuse < Obtuse
Always put sides on the left and hypotenuse on the right - then < means obtuse, > means acute