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Emily778 Group Title

Find the length of the missing side.

  • one year ago
  • one year ago

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  1. Emily778 Group Title
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    • one year ago
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  2. Emily778 Group Title
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    @FutureMathProfessor Please help! Given reward if so!

    • one year ago
  3. FutureMathProfessor Group Title
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    |dw:1370548165122:dw|

    • one year ago
  4. FutureMathProfessor Group Title
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    |dw:1370548310040:dw|

    • one year ago
  5. Jhannybean Group Title
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    oh my goodness. lol.

    • one year ago
  6. mitodoteira Group Title
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    \[a ^{2}+b ^{2}=c ^{2}\] \[8 ^{2}+15 ^{2}=x ^{2}\] \[64+225=x ^{2}\] \[x ^{2}=289\] \[x=\sqrt{289}\] \[x=17\]

    • one year ago
  7. Emily778 Group Title
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    @mitodoteira Can you please help with one more?

    • one year ago
  8. mitodoteira Group Title
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    Okay

    • one year ago
  9. Jhannybean Group Title
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    Aww that's not being a good sport.

    • one year ago
  10. arafatx Group Title
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    The question didn't ask for x, should be 17^2 or 289

    • one year ago
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  11. mitodoteira Group Title
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    Emily, what is the other question?

    • one year ago
  12. Emily778 Group Title
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    In triangle ABC, <A is a right angle and m<B= 45 degrees. Find BC. If your answer is not and integer, leave in simplest form. @mitodoteira

    • one year ago
  13. Jhannybean Group Title
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    the length of the missing side would be what @arafatx mentioned. You can always plug it back in to the pythagorean identity to check your answer. a^2 +b^2 = c^2 (15)^2 + (8)^2 = (sqrt (289))^2 225 + 64 = 289

    • one year ago
  14. Emily778 Group Title
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    is that for the second one?

    • one year ago
  15. Jhannybean Group Title
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    and for that question,you have a 45-45-90 triangle, therefore your proportions are 1:1:1*sqrt(2) By that i mean both of your base legs are the same and to find the hypotenuse you're going to multiply your base leg * sqrt(2)

    • one year ago
  16. Jhannybean Group Title
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    b1 = 12, b2 = 12, hypotenuse = b1*sqrt(2)

    • one year ago
  17. mitodoteira Group Title
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    Since <B is 45º and and <A is 90º, <C is (180-(90+45)=45) 45º. Thus, the triangle is isosceles. \[a ^{2}+b ^{2}=c ^{2}\] \[12 ^{2}+12 ^{2}=x ^{2}\] \[2•144=x ^{2}\] \[x ^{2}=288\] \[x=\sqrt{288}\] \[x=12\sqrt{2}\] \[x \approx 16.97056 \approx 17\]

    • one year ago
  18. Emily778 Group Title
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    you guys are giving me 2 different answers. Which is it?

    • one year ago
  19. mitodoteira Group Title
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    12*sqrt(2) is about equal to 17

    • one year ago
  20. Jhannybean Group Title
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    @mitodoteira c^2 = a^2 + b^2 take x = 17, c=x (17)^2 = (12)^2 + (12)^2 289 = 288 nope.

    • one year ago
  21. mitodoteira Group Title
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    That's because I'm rounding. The actual answer is irrational. If you look at my answer, I gave the answer to a few decimal places as well.

    • one year ago
  22. Jhannybean Group Title
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    whereas we take c = 12sqrt(2) c^2= a^2 + b^2 (12sqrt(2))^2 = (12)^2 + (12)^2 288 = 288 You DO NOT round when finding lengths.

    • one year ago
  23. mitodoteira Group Title
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    I gave the true answer, as well as the rounded one in case she needed it for something (I was often asked to give the answer to n decimal places instead of the exact answer).

    • one year ago
  24. Jhannybean Group Title
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    the "true" answer is 12* sqrt(2) according to the 45-45-90 degree triangle.

    • one year ago
  25. mitodoteira Group Title
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    Yes, it is. I don't see what the problem is.

    • one year ago
  26. Jhannybean Group Title
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    Emily778 You've already chosen the best response. 0 In triangle ABC, <A is a right angle and m<B= 45 degrees. Find BC. If your answer is not and integer, leave in simplest form.

    • one year ago
  27. Jhannybean Group Title
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    "if the answer is not an integer, leave it in simplest form" and therefore the simplest form is 12*sqrt(2)

    • one year ago
  28. mitodoteira Group Title
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    What I said was 'x=12*sqrt(2), x APPROXIMATELY EQUALS 16.97056 approx 17' I am new to this community. Most others I have been to welcome extra information.

    • one year ago
  29. Jhannybean Group Title
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    the approximation then would be longer than 16.97056. you'd have to include the whole number approximation, not rounding up to 17.

    • one year ago
  30. Luigi0210 Group Title
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    If it's suppose to be in exact or simplified form then leave it as radicals, fractions etc. If it asks for estimation, nearest number, or approximation then that's when you round up and change the radical to a number

    • one year ago
  31. Luigi0210 Group Title
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    so your final answer for the second problem should be left as a radical.

    • one year ago
  32. ganeshie8 Group Title
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    yeah, simplest form = \(12\sqrt{2}\)

    • one year ago
  33. Luigi0210 Group Title
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    Thank you Gane

    • one year ago
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