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elizabethann509 Group Title

I don't need an answer, I just need some help on how to do this. Your uncle is making you a desk for you to take to college. One side of the desk is 32 inches and the diagonal length is 36 inches. What is the length of the other side of the desk? I know that you have to use the Pythagorean theorem for this and I know how to find the hypotenuse if I know the measures of the legs. Do I do the exact same thing with this only I'm looking for the measure of the leg? Or is it different?

  • 2 years ago
  • 2 years ago

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  1. elizabethann509 Group Title
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    |dw:1336337420890:dw|

    • 2 years ago
  2. amistre64 Group Title
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    fill in the parts to the pythag and then rearrange to solve the missing

    • 2 years ago
  3. mathdood Group Title
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    well if a^2= b^2+c^2 and you have a and either b or c then just solve for b or c

    • 2 years ago
  4. amistre64 Group Title
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    a^2 + b^2 = c^2 a^2 = c^2 - b^2

    • 2 years ago
  5. elizabethann509 Group Title
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    So, normally if I were to be looking for the hypotenuse then the legs would be A and B and the hypotenuse is C? So I rearrange it accordingly to what I know like the equations you just showed me?

    • 2 years ago
  6. amistre64 Group Title
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    yep

    • 2 years ago
  7. elizabethann509 Group Title
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    @amistre64 why did you put the subtraction sign instead of the addition?

    • 2 years ago
  8. amistre64 Group Title
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    becasue when you subtract b^2 from each side ... well, .... you subtract it

    • 2 years ago
  9. elizabethann509 Group Title
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    That doesn't make sense (what you just wrote). Also, I still don't get it. Because it's: a^2 + b^2 = c^2 Why does that become a subtraction sign when it is rearranged?

    • 2 years ago
  10. amistre64 Group Title
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    well, lets use real numbers 5 + 3 = 8 does 5 = 8 + 3 ?

    • 2 years ago
  11. mathdood Group Title
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    because that is how algebra works if you have 4 = 2 + x and you want to figure out x you take 2 from both sides and you get x = 4- 2 this si the same and a b and c are just variables it doesn't matter how you write them just know that when you are adding it is for the hypotenuse and when you are subtracting it is for one of the two sides.

    • 2 years ago
  12. amistre64 Group Title
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    the equal sign represent balance between the weight of 2 opposing sides 5 + 3 = 8 is balanced and equal ; if we subtract 3 from each side it stays equal -3 -3 ---------- 5 + 0 = 5

    • 2 years ago
  13. elizabethann509 Group Title
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    Ohh okay! That makes sense now that you showed that example. Thanks :) I'll give it a try and see if I can get it right!

    • 2 years ago
  14. amistre64 Group Title
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    good luck

    • 2 years ago
  15. elizabethann509 Group Title
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    Thanks!

    • 2 years ago
  16. elizabethann509 Group Title
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    Still having some trouble on how to figure this out :/ I fill it in but I would come out with negatives every time with the way I am doing this. I'm doing it like you both said so I'm not sure what I'm doing wrong?

    • 2 years ago
  17. elizabethann509 Group Title
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    No idea what to do now! :p

    • 2 years ago
  18. amistre64 Group Title
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    youre most likely mixing up your hypotenuse and side; the negative just means youve got them backwards 5 - 3 = 2 3 - 5 = -2

    • 2 years ago
  19. amistre64 Group Title
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    just drop the negative and youll be fine

    • 2 years ago
  20. amistre64 Group Title
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    a^2 = 36^2 - 32^2 a = sqrt(36^2 - 32^2)

    • 2 years ago
  21. amistre64 Group Title
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    we can also trim down some computations 36 = 9*4 32 = 8*4 (9*4)^2 - (8*4)^2 = 4^2 (9^2 - 8^2) a = 2 sqrt(81-64)

    • 2 years ago
  22. elizabethann509 Group Title
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    Wow, i was doing that wayyy different i think lol. i was doing 36x36 and 32x32 and i got numbers in the thousand range. so i just multiply it by 2 then? lol

    • 2 years ago
  23. amistre64 Group Title
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    the more you can simply to begin with, the smaller your calculations will be either way itll turn out the same if you do the mathing right :)

    • 2 years ago
  24. elizabethann509 Group Title
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    Okay lol. Thank you soo much! I was completely confused but I get it now :)

    • 2 years ago
  25. amistre64 Group Title
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    youre welcome

    • 2 years ago
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