Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Emily778

  • one year ago

Find the length of the missing side.

  • This Question is Closed
  1. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1 Attachment
  2. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @FutureMathProfessor Please help! Given reward if so!

  3. FutureMathProfessor
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1370548165122:dw|

  4. FutureMathProfessor
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1370548310040:dw|

  5. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    oh my goodness. lol.

  6. mitodoteira
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \[a ^{2}+b ^{2}=c ^{2}\] \[8 ^{2}+15 ^{2}=x ^{2}\] \[64+225=x ^{2}\] \[x ^{2}=289\] \[x=\sqrt{289}\] \[x=17\]

  7. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @mitodoteira Can you please help with one more?

  8. mitodoteira
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Okay

  9. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Aww that's not being a good sport.

  10. arafatx
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The question didn't ask for x, should be 17^2 or 289

    1 Attachment
  11. mitodoteira
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Emily, what is the other question?

  12. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 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. @mitodoteira

  13. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    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

  14. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is that for the second one?

  15. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    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)

  16. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    b1 = 12, b2 = 12, hypotenuse = b1*sqrt(2)

  17. mitodoteira
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

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

  18. Emily778
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you guys are giving me 2 different answers. Which is it?

  19. mitodoteira
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    12*sqrt(2) is about equal to 17

  20. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    @mitodoteira c^2 = a^2 + b^2 take x = 17, c=x (17)^2 = (12)^2 + (12)^2 289 = 288 nope.

  21. mitodoteira
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    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.

  22. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    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.

  23. mitodoteira
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    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).

  24. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    the "true" answer is 12* sqrt(2) according to the 45-45-90 degree triangle.

  25. mitodoteira
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Yes, it is. I don't see what the problem is.

  26. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    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.

  27. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    "if the answer is not an integer, leave it in simplest form" and therefore the simplest form is 12*sqrt(2)

  28. mitodoteira
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    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.

  29. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    the approximation then would be longer than 16.97056. you'd have to include the whole number approximation, not rounding up to 17.

  30. Luigi0210
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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

  31. Luigi0210
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so your final answer for the second problem should be left as a radical.

  32. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah, simplest form = \(12\sqrt{2}\)

  33. Luigi0210
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Thank you Gane

  34. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.