A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

http://media.education2020.com/evresources/2004-04-01-02-00_files/i0130000.jpg Find the unknown side length, x. Write your answer in simplest radical form

  • This Question is Closed
  1. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1440193477028:dw|

  2. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    We are looking for x.

  3. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    What do the circled marks mean? |dw:1440193557796:dw|

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

    @mathstudent55 , the circled marks are called hash marks and lines with the same number of hash marks indicate that these sides are the same length. It saves cluttering up sketches with dimensions. For example, a rectangle might look like |dw:1440193790343:dw|

  5. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I believe I knew that. I was asking the poster to see if he/she knew it, so we could work on the problem.

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

    Yeah I knew what they mean but I figured it out I just asked my E2020 teacher for help even though he didn't get it either. Thank you for you help though

  7. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Ok. We know those marks mean the two segments are congruent. That means we can now add this to the|dw:1440194145894:dw| drawing:

  8. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now just look at the triangle at the right. |dw:1440194177047:dw|

  9. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    What kind of triangle is it?

  10. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Sorry, gtg. Here is the rest of the solution. This triangle is a right triangle. We know that because the figure shows a right angle. We can use the Pythagorean theorem. \(a^2 + b^2 = c^2\) |dw:1440194360342:dw|

  11. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Using the formula above for our triangle, we get: \(3^2 + 6^2 = x^2\) \(9 + 36 = x^2\) \(45 = x^2\) \(x^2 = 45\) \(x = \sqrt {45} \) Now we need simplest radical form. We factor 45 into 2 factors, one being the largest perfect square factor we can find. \(x = \sqrt {9 \times 5} \) \(x = 3 \sqrt 5\)

  12. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Sorry, but gtg. If you have questions, just ask them.

  13. 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.