A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Triangle ABC is a 45 degree-45 degree-90 degree in a sphere such that B is the center of the sphere and A and C are points on the sphere. Given the hypotenue of (trangle)ABC is 8√2 units, what is the surface area of the sphere? A.) 320π square units B.)85π square units C.)256π square units D.) 192π square units The pic is there shown when you click on the question...Please help me

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1 Attachment
  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay, that image was not that helpful. What are the special properties on a 45-45-90 triangle?

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i dont get what you asking

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What is special about having a triangle ABC that is a 45 degree-45 degree-90 degree?

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It's a special triangle, correct? http://www.regentsprep.org/Regents/math/algtrig/ATT2/Ltri45.htm

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yess

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thats right

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so we know the hypotenuse. Therefore we can figure out the radius (as it's the legs of the triangle). Then from the radius we know the sphere's surface area equation. Get it?

  9. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay so i got D is that correct?

  10. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    erm... I got something else.

  11. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what did you get... I am confused lol

  12. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay. You have the hypotenuse is 8Sqrt[2] so the leg is simply 8. Then we use the equation for surface area of a sphere (or derivative of the volume equation)

  13. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    then we get 256pi or C

  14. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can you explain that?

  15. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay

  16. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[Surface Area= 4\pi r^2\] So we plug in r=8; 4*8^2= 4*64=256 We ignored the pi initially since we realized that the pi was already built into the answers. Then we get 256pi or answer C

  17. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ohhh thanks so much :)

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.