1. Pythagoras Theorem EYAD HAKAMI MARCH 1, 2015 c b a

2. Background Pythagoras was a Greek Philosopher and Mathematician who lived in the fifth century B.C. He's mostly known for the Pythagorean Theorem, which is said to be the most famous theorem in Mathematics.

3. Fit a pole inside a truck trailer! Suppose you have a truck with a trailer that is 5 meters long, 3 meters high and 2 meters in width. What is the longest pole that can fit inside this truck? We will find out at the end of this lesson!

4. Terminology and Definitions A right triangle is a triangle with a 90° angle. The hypotenuse is the side of the triangle opposite to that angle, and its legs are the other two sides. hypotenu se leg

5. Statement of the Theorem c b a

6. Look at it differently! b a a a b ab c a c c c

7. Examples 3ft 4ft c

8. Examples 10 8 b

9. Inverse of the Statement 13 5

10. Back to the truck To be able to find the longest pole to fit inside a truck trailer of dimensions 5, 3 and 2 meters, we need to apply Pythagoras Theorem. The solution is explained in the next slide.

11. Solution x y 5m 2m 3m

12. Exercises 1- A right triangle with leg of size 5 and 7 length units. What’s the length of its hypotenuse. 2- Find the diagonal of a square with side length of 9 meters. 3- A triangle with sides 7, 24 and 25. Is it a right-triangle. Justify your answer.