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Pythagorean Theorem

Pythagorean Theorem. Who is the Pythagorean Theorem named after?. It is believed that Pythagoras was born in the island of Samos, in ancient Greece, in 570 B.C.That is about 2,570 years ago!. Why?.

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Pythagorean Theorem

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  1. Pythagorean Theorem

  2. Who is the Pythagorean Theorem named after? It is believed that Pythagoras was born in the island of Samos, in ancient Greece, in 570 B.C.That is about 2,570 years ago! Why? Even though the theorem was known long before his time, Pythagoras certainly generalized it and made it popular. It was Pythagoras who is attributed with its first geometrical demonstration. That is why it is known as the Pythagorean Theorem. Pythagoras of Samos

  3. Pythagorean Theorem Definition An equation relating the lengths of the sides of a right triangle. The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse So what are we talking about???

  4. Lets pick out the “key” words • Right Triangle • Legs • Hypotenuse Now lets apply the key words!!!

  5. Right Triangle A triangle which has a right (90°) interior angle 90° Angle

  6. Is there more then one right triangle?

  7. How to Label the Triangles hypotenuse hypotenuse hypotenuse leg leg leg leg leg leg The 2 sides that make up the triangle are called the “LEGS.” The longest side of the triangle is called the “HYPOTENUSE” also, it is located across from the right angle.

  8. Some ways we can represent the Pythagorean Theorem A2+B2=C2 Leg2+Leg2=Hypotenuse2

  9. How it works with and Why… 5x5=25 • Looking at the Picture we are able to see that: • a=3(Blue) • b=4(Green) • c=5(Red) 3x3=9 A2+B2=C2 32+42=52 9+16=25 4x4=16 http://www.youtube.com/watch?v=hbhh-9edn3c http://www.youtube.com/watch?v=bP3i5dpezuk

  10. Now Lets Solve Some Problems!!!

  11. Credits • Microsoft Clip art • http://www.arcytech.org/java/pythagoras/history.html • http://www.myastrologybook.com/PythagoreanTheorem16c.gif • http://mathworld.wolfram.com/RightTriangle.html

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