Pythagorean Theorem Made Simple
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Pythagorean Theorem Made Simple

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

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

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    Pythagorean Theorem Made Simple Pythagorean Theorem Made Simple Presentation Transcript

    • Finding missing lengths using the Pythagorean Theorem With Ian Wild http://www.yourmathstutor.info
    • 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
    • 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…
    • Remember Pythagoras? Did you get it right?
    • 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…
    • Using Pythagoras 6m 2m Does your triangle look like this?
    • It’s an algebra problem… 6m 2m 6 2 = 2 2 + b 2 36 = 4 + b 2
    • Final Steps… 36 = 4 + b 2 -4 -4 32 = b 2 b = b = 5.66 to 2 d.p.
    • That’s it!
      • Constructed a right-angled triangle.
      • Used the Pythagorean Theorem to make an equation.
      • Solved the equation using algebra.
      • Found the answer!
      Here’s what we did…
    • Thanks for watching! http://www.yourmathstutor.info