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Pythagorean Theorem Made Simple

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Learn the Pythagorean Theorem as we work through a typical exam question

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Pythagorean Theorem Made Simple

  1. 1. Finding missing lengths using the Pythagorean Theorem With Ian Wild http://www.yourmathstutor.info
  2. 2. A Ladder Problem Bobbie places her 6-metres-long ladder 2 metres away from the foot of the wall. How far up the wall did the ladder reach? 6m 2m
  3. 3. Remember Pythagoras? Try writing down the Pythagorean Theorem in your note book, then move on to the next slide to see if you’re right…
  4. 4. Remember Pythagoras? Did you get it right?
  5. 5. Back to the ladder problem… Here is the diagram from Slide 1 of the ladder against the wall: 6m 2m Can you re-draw this as a right-angled triangle? Try drawing the triangle in your notebook. Remember to mark the two lengths (6m and 2m) on your triangle…
  6. 6. Using Pythagoras 6m 2m Does your triangle look like this?
  7. 7. It’s an algebra problem… 6m 2m 6 2 = 2 2 + b 2 36 = 4 + b 2
  8. 8. Final Steps… 36 = 4 + b 2 -4 -4 32 = b 2 b = b = 5.66 to 2 d.p.
  9. 9. That’s it! <ul><li>Constructed a right-angled triangle. </li></ul><ul><li>Used the Pythagorean Theorem to make an equation. </li></ul><ul><li>Solved the equation using algebra. </li></ul><ul><li>Found the answer! </li></ul>Here’s what we did…
  10. 10. Thanks for watching! http://www.yourmathstutor.info

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