Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

lawls

  • 2 years ago

If the sides of a right triangle have lengths of x-7, x an x+1, then x= (a) (1, 7) (b) (7, -1) (c) (7, 4) (d) (7, 12) (e) (4, 12)

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

    first tell me which is the longest side

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

    x-7,x,x+1....... what do u thik have the biggest value

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

    Hint: Work with the dearest Pythagorean Theorem.

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

    But beofre using Pythagorean Theorem.. u must find the longest side

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

    Obviously, x + 1 would be the largest side and therefore the hypotenuse because of the + 1 while x is neutral and -7 is negative. THerefore, now use Pythagorean THeorem. \[c^2 = a^2 + b^2\]\[(x + 1)^2 = x^2 + (x - 7)^2\]\[x^2 + 2x + 1 = x^2 + x^2 - 14x + 49\]\[x^2 + 2x + 1 = 2x^2 - 14x + 49\]\[0 = x^2 - 16x + 48\]Can you figure out how to solve the4 quadratic from here?

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

    Yes sir! Yes sir!

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

    i got x = 4, 12

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

    so answer choice (e) is right?

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

    You, sir, are totally correct!

  10. Calcmathlete
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Kinda ironic since 12 is the only true solution, but whatever works ^_^

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

    thanks

  12. Calcmathlete
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    np :)

  13. 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.