A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

The hypotenuse of a right triangle is 15ft long. One leg is 3ft shorter than the other. Find the lengths of the legs. Please someone help me work through this

  • This Question is Closed
  1. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    l^2 + (l-3)^2 = 15^2

  2. angela210793
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    15^2=x^2+(x-3)^2

  3. angela210793
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    15^2=x^2+x^2-6x+9 15^2=2x^2-6x+9

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

    how do i do this amistre64

  5. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    well ..... we use the pythag thrm which states: hyp^2 = leg^2 + other leg^2 15^2 = l^2 + (l-3)^2 from the problem stated agree?

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

    i got x=-9 x=-12 so since there r no - then answer should be 9, 12 right

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

    yes

  8. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    225 = l^2 + l^2 -6l +9 ; go for broke... 0 = 2l^2 -6l - 216 agree?

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

    yes

  10. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    factor out the common 2 0 = l^2 -3l -108 ; solve for zeros

  11. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what is your favorite way to get the zeros of this quadratic?

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

    ?

  13. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    how do we factor this quadratic?

  14. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    we can complete the square if you like

  15. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    or we can use the quadratic formula..

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

    we can use 0=x^2-31x-108

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

    divide both sides by 31

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

    x=3,-3 no - x=3 x=3?

  19. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    let me clean this up for you; l looks like '1' but its a letter L 0 = x^2 -3x -108 ; try that :)

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

    divide both sides by 3

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

    x=36 x=33

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

    or is it still 12, 9

  23. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    108+_____ = x^2 -3x +_____ ; complete the square 108 +9/4 = (x-(3/2))^2 ; sqrt side +- sqrt(441/4) = x-(3/2) ; +3/2 x = 3/2 +- 21/2

  24. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    x = 24/2 = 12 or x = -18/2 = -9; lets assume its |-9| = 9 try them out does: 15^2 = 12^2 + 9^2 ??

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

    225=144=81 YES

  26. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then we found our answers :) You just have to be more efficient at the quads ... and that takes alot of practice ;)

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

    ok so the answers are 12, 9

  28. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes

  29. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if leg = 12; the other leg = (12-3) = 9

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

    ty so much

  31. 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.