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anonymous

  • one year ago

Advanced Algebra, triangle

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  1. anonymous
    • one year ago
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    Use the formulas a = x^2 – y^2, b = 2xy, c = x^2 + y^2 to answer this question. One leg of a right triangle has length 11 and all sides are whole numbers. Find the lengths of the other two sides. The other leg= And the hypotenuse=

  2. anonymous
    • one year ago
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    Well since this is a right angle triangle, we can already use the properties of Pythagoras' theorem. But before, we start on doing anything, we have to let one side equal to 11. I recommend not the hypotenuse to be 11

  3. anonymous
    • one year ago
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    it has been a long time since i have even seen Pythagoras' theorem

  4. anonymous
    • one year ago
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    Can you still remember at all? You can quickly search it up via the net ^^

  5. anonymous
    • one year ago
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    give me a second to go look it up,(i c\just came back from the bathroom)

  6. anonymous
    • one year ago
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    a^2+b^2=c^2

  7. anonymous
    • one year ago
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    Right

  8. anonymous
    • one year ago
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    So how do you think, you should approach this question?

  9. anonymous
    • one year ago
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    11^2+b^2=c^2

  10. anonymous
    • one year ago
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    yeap Just solve for that, and make on of the pro numerals the subject

  11. anonymous
    • one year ago
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    Just remember, that we are working in 'x' and 'y' so you have to mold your equations around those variables

  12. anonymous
    • one year ago
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    hmmm it is 9:27AM over here and my mind is still waking up :/

  13. anonymous
    • one year ago
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    no worries it is 11:29 pm over here

  14. anonymous
    • one year ago
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    is there a formula u can give me or an example?

  15. anonymous
    • one year ago
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    Alright no problem

  16. anonymous
    • one year ago
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    |dw:1433511154354:dw|

  17. anonymous
    • one year ago
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    But we have to let either 'a' or 'b' equal 11, since that is out clue here ~

  18. anonymous
    • one year ago
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    that writing is a tiny bit eligible...

  19. anonymous
    • one year ago
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    Sorry its freezing cold at the moment, and its on the computer so its quite hard to draw with a mouse ><

  20. anonymous
    • one year ago
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    The hypotenuse is: C = x^2 + y^2 a = x^2 - y^2 b = 2xy So we are given one side is equivalent to 11, so which side you will to make it 11?

  21. anonymous
    • one year ago
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    b, it seems the best choice

  22. anonymous
    • one year ago
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    Okay, so just solve from there and let see what you get

  23. anonymous
    • one year ago
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    well i am brain dead or i just cant remember how to do this..........

  24. anonymous
    • one year ago
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    it is sad because i use to be very good at math

  25. anonymous
    • one year ago
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    Well... its time to redeem yourself in this question ^^ Everyone has their moments in mathematics :)

  26. anonymous
    • one year ago
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    ill just close this question and go on to something else. :/

  27. anonymous
    • one year ago
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    b = 2xy b = 11 so 11 = 2xy Thus -> x = 11 / 2y Try substituting that into a now, and let see what you get

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