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Pythagorean theorem! By : Katey Lynch. History of the Pythagorean theorem! Well it all started with a Greek mathematician Pythagoras. He discovered something.

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Presentation on theme: "Pythagorean theorem! By : Katey Lynch. History of the Pythagorean theorem! Well it all started with a Greek mathematician Pythagoras. He discovered something."— Presentation transcript:

1 Pythagorean theorem! By : Katey Lynch

2 History of the Pythagorean theorem! Well it all started with a Greek mathematician Pythagoras. He discovered something very interesting about the right triangle and it is called Pythagorean theorem, and they get Pythagorean from Pythagoras. His name!

3 How it works! The Pythagorean theorem states that the sum of the squares of the lengths of the two sides of a right triangle will equal the square length of the hypotenuse. The formula you use to figure this out is a² + b² = c²

4 You are at a baseball field and you want to throw the ball from first base to third. How far do you have to throw the ball in order to get the runner out at third? ( there are 90 feet from base to base ) 90² + 90² = c² 8100 +8100 = c² 16200 = c² 127.2 = c

5 The height of a truck is 8 feet, the ground is 10 feet below. How long is the ramp ? 8² + 10² = c² 64 + 100 = c² 164 = c² 12.8 = c

6 You want to cut a piece of paper from one corner down diagonal to make a triangle. One side of the paper is 5 inches the other is 8 inches. What is the other sides height? 5² +8² = c² 25 +64 = c² 89 = c² 9.4 = c

7 A 5 foot tall lady stands on the ground and she cast a shadow that cast a 90 degree angle that is 6 feet. What is the distance of the top of the women's head from where the shadow ends. ( the bottom of the head ?) 5² + 6² = c² 25 + 36 = c² 61 = c² 7.8 = c

8 You have a sandwich, and you want to cut it from one end of the bread to the other end to make a perfect right triangle. You know that one end is 3 inches and the other is 5 inches what is the last length? 5² + 3² = c² 25 + 9 = c² 34 = c² 5.8 = c

9 The width of a computer screen is 10 inches its height is 12 inches. Find the length of the computer screen. 10² + 12² = c² 100 + 144 = c² 244 = c² 15.6 = c

10 How far up a wall will a 10m ladder reach, if the foot of the ladder must be 5m from the base of the wall ? 4² + b² = 10² 16 + b² = 100 100 – 16 = b² 84 = b² 9.1 = b

11 What is the diagonal length of a TV screens whose dimensions are 10x20cm? 10² + 20² = c² 100 + 400 = c² 500 = c² 22.3 = c


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