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Pythagorean theorem


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a slide show about the math calculations of the pythagorean theorem.

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Pythagorean theorem

  1. 1. What is the Pythagorean Theorem?
  2. 2. Who was Pythagoras? <ul><li>Pythagoras was an Ancient Greek mathematician. He invented the Pythagorean Theorem </li></ul>
  3. 3. The definition of Pythagorean Theorem <ul><li>The definition of the Pythagorean Theorem is A 2 + B 2 = C 2 . That means on a right angle triangle the Altitude (A) squared, added to the base (B) squared is equal to the hypotenuse (C) squared. </li></ul>A B C
  4. 4. Why does the Pythagorean Theorem work? <ul><li>The Pythagorean theorem works because if you look at the picture, you will see these squares just outside the triangle. The square for A and B are smaller the C. To get these squares you would just square the length the side. </li></ul>
  5. 5. Questions without the hypotenuse <ul><li>To calculate questions with out the hypotenuse, you simply square the base and height then take that number and calculate the square root of that number. </li></ul>A 10 cm 12 cm
  6. 6. Answers to questions without the hypotenuse <ul><li>A 2 +B 2 =C 2 </li></ul><ul><li>12 2 +10 2 =C 2 </li></ul><ul><li>144+100=C 2 </li></ul><ul><li>244=C 2 </li></ul><ul><li>244 square root = 15.62 (rounded) </li></ul>12 cm 10 cm A
  7. 7. Questions without the base or altitude <ul><li>To calculate questions with out the base or altitude, you simply take the numbers you do know and solve like an algebra question. Much the same when solving for the hypotenuse. </li></ul>8 cm B 10 cm
  8. 8. Answers to questions without the base or altitude <ul><li>A 2 +B 2 =C 2 </li></ul><ul><li>8 2 +B 2 =10 2 </li></ul><ul><li>64+B 2 =100 </li></ul><ul><li>164=B 2 </li></ul><ul><li>164 square root = 12.81 (rounded) </li></ul>10 cm 8 cm B