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Emily778

Find the length of the missing side.

  • 10 months ago
  • 10 months ago

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  1. Emily778
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    • 10 months ago
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  2. Emily778
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    @FutureMathProfessor Please help! Given reward if so!

    • 10 months ago
  3. FutureMathProfessor
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    |dw:1370548165122:dw|

    • 10 months ago
  4. FutureMathProfessor
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    |dw:1370548310040:dw|

    • 10 months ago
  5. Jhannybean
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    oh my goodness. lol.

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

    • 10 months ago
  7. Emily778
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    @mitodoteira Can you please help with one more?

    • 10 months ago
  8. mitodoteira
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    Okay

    • 10 months ago
  9. Jhannybean
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    Aww that's not being a good sport.

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

    • 10 months ago
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  11. mitodoteira
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    Emily, what is the other question?

    • 10 months ago
  12. Emily778
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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

    • 10 months ago
  13. Jhannybean
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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

    • 10 months ago
  14. Emily778
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    is that for the second one?

    • 10 months ago
  15. Jhannybean
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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)

    • 10 months ago
  16. Jhannybean
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    b1 = 12, b2 = 12, hypotenuse = b1*sqrt(2)

    • 10 months ago
  17. mitodoteira
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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. \[a ^{2}+b ^{2}=c ^{2}\] \[12 ^{2}+12 ^{2}=x ^{2}\] \[2•144=x ^{2}\] \[x ^{2}=288\] \[x=\sqrt{288}\] \[x=12\sqrt{2}\] \[x \approx 16.97056 \approx 17\]

    • 10 months ago
  18. Emily778
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    you guys are giving me 2 different answers. Which is it?

    • 10 months ago
  19. mitodoteira
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    12*sqrt(2) is about equal to 17

    • 10 months ago
  20. Jhannybean
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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.

    • 10 months ago
  21. mitodoteira
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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.

    • 10 months ago
  22. Jhannybean
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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.

    • 10 months ago
  23. mitodoteira
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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).

    • 10 months ago
  24. Jhannybean
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    the "true" answer is 12* sqrt(2) according to the 45-45-90 degree triangle.

    • 10 months ago
  25. mitodoteira
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    Yes, it is. I don't see what the problem is.

    • 10 months ago
  26. Jhannybean
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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.

    • 10 months ago
  27. Jhannybean
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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)

    • 10 months ago
  28. mitodoteira
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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.

    • 10 months ago
  29. Jhannybean
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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.

    • 10 months ago
  30. Luigi0210
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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

    • 10 months ago
  31. Luigi0210
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    so your final answer for the second problem should be left as a radical.

    • 10 months ago
  32. ganeshie8
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    yeah, simplest form = \(12\sqrt{2}\)

    • 10 months ago
  33. Luigi0210
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    Thank you Gane

    • 10 months ago
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