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

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Presentation transcript:

Pythagoras Theorem EYAD HAKAMI MARCH 1, 2015 c b a

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.

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!

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

Statement of the Theorem c b a

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

Examples 3ft 4ft c

Examples 10 8 b

Inverse of the Statement 13 5

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.

Solution x y 5m 2m 3m

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.