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anonymous

  • one year ago

pythagorean theorem: C = √a^2 + √b^2 Should c = √a^2 + √b^2 have a +- symbol in front of the c? Why or why not? @jim_thompson5910

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  1. jim_thompson5910
    • one year ago
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    the pythagorean theorem is a^2 + b^2 = c^2

  2. jim_thompson5910
    • one year ago
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    if you apply square roots to both sides, you get \[\Large a^2 + b^2 = c^2\] \[\Large \sqrt{a^2 + b^2} = \sqrt{c^2}\] notice how there is one root on the left side and it covers ALL of the left side

  3. jim_thompson5910
    • one year ago
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    on the right side, the square and square root cancel, leaving just c behind

  4. jim_thompson5910
    • one year ago
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    so that's why \[\Large c = \sqrt{a^2 + b^2}\]

  5. jim_thompson5910
    • one year ago
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    and c is some distance c is never negative so you don't have to worry about the plus/minus here. just focus on the plus

  6. anonymous
    • one year ago
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    |dw:1433638788963:dw|

  7. jim_thompson5910
    • one year ago
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    there won't be a plus/minus symbol

  8. jim_thompson5910
    • one year ago
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    there shouldn't be one

  9. jim_thompson5910
    • one year ago
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    it's simply \[\Large c = \sqrt{a^2 + b^2}\]

  10. jim_thompson5910
    • one year ago
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    and it is NOT this \[\Large c = \pm\sqrt{a^2 + b^2}\] the minus implies that we have negative distance which doesn't make sense

  11. anonymous
    • one year ago
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    |dw:1433638938313:dw|

  12. jim_thompson5910
    • one year ago
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    they are the same, but you shouldn't have a +- at all |dw:1433639149567:dw|

  13. anonymous
    • one year ago
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    yea, its just that the question is asking if the +- should be in front of the c, why or why not. but if its the same with the +- on either side, then whats the reason for not putting the sign?

  14. jim_thompson5910
    • one year ago
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    |dw:1433639457958:dw|

  15. jim_thompson5910
    • one year ago
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    c represents the length of the hypotenuse (the longest side of a right triangle)

  16. jim_thompson5910
    • one year ago
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    any time we talk about lengths or distances, they are either 0 or some positive number they are NEVER ever negative. Negative distance or length doesn't make any sense so that's why c is never negative

  17. jim_thompson5910
    • one year ago
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    so instead of saying c = plus or minus 10 we just say c = +10 or just c = 10

  18. jim_thompson5910
    • one year ago
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    the c = minus 10 = -10 makes no sense

  19. anonymous
    • one year ago
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    oh i see. ok thanks!

  20. jim_thompson5910
    • one year ago
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    you're welcome

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