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The Pythagorean Theorem

By: Angela Hand

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Pythagoras Born in Samos, Greece during the sixth century B.C.

Greek philosopher and mathematician Declared that numbers could uncover the secrets of the universe, limiting and giving shape to matter Discovered Pythagorean Theorem

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Use of the Pythagorean Theorem:

The Pythagorean theorem is used to find the length of the missing side in a right triangle.

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Important facts Pythagorean theorem can only be used in right triangles Legs are always the sides adjacent to the 90 degree angle (next to) It does not matter which leg is a or b Hypotenuse is always the longest leg called c.

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What is a right triange? A right triangle is a triangle with 90 degree angle.

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Formula a and b represent the legs c represents the hypotenuse

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How formula works… Determine legs and the Hypotenuse hypotenuse leg

Right angle

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Steps 1. Find legs and hypotenuse 2. Square the legs (a,b)

3. Add legs together 4. Square root the answer 5. Answer is the length of the hypotenuse [c]

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Square both legs and add

= c2 = c2

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Square root answer (hypotenuse)

= 25 = 52

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All together

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Proof

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Example problem Finding a leg

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Example 2 Find the hypotenuse

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Applications Uses: Designing of ramps. Whether a handicap accessible ramp of a skateboard ramp. Computing distance between two points, such as in bases in baseball.

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Theorem calculator and video

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Citation “Pythagoras Biography – Life, Name, History, School, Son, Information, Born, Time.” Encyclopedia of World Biography. Web. 19 Oct <

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