Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

koli123able

  • 2 years ago

Prove the followings

  • This Question is Closed
  1. koli123able
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Number 1 \[\frac{ \Delta }{ s-a }=s \tan \frac{ \alpha }{ 2 }\]

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

    what does alpha , a , s , \(\Delta\) represent ?

  3. koli123able
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\Delta=\sqrt{s(s-a)(s-b)(s-c)}\]

  4. koli123able
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\tan \frac{ \alpha }{ 2 }=\sqrt{\frac{ (s-b)(s-c) }{ s(s-a) }}\]

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

    right... got it now..

  6. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so now put these values : \[\large{\frac{ \sqrt{s(s-a)(s-b)(s-c)}}{s-a} = \frac{\sqrt{s-a} \sqrt{s(s-b)(s-c)}}{s-a} }\]

  7. koli123able
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    prove it using either l.h.s or r.h.s

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

    Yeah I am using LHS only

  9. koli123able
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay.. :)

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

    well I can write :; \(\large{\frac{\sqrt{s-a}}{s-a} }\) as \(\frac{1}{\large{\sqrt{s-a}}}\)

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

    therefore I get : \[\large{\frac{\sqrt{s(s-b)(s-c)}}{\sqrt{s-a}}}\] = \[\large{\sqrt{\frac{(s-b)(s-c)s^2}{s(s-a)}}} \] That is : \[\large{s\tan \frac{\alpha}{2}}\]

  12. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    got it ?

  13. koli123able
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can u prove it by multiplying and dividing trick i did'nt understand the roots u changed

  14. koli123able
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    like taking r.h.s and M & D it by \[\sqrt{s(s-a)}\]

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

    see : |dw:1360917633731:dw|

  16. koli123able
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    NUMBER 2\[\frac{ s-a }{ \Delta }+\frac{ s-b }{ \Delta }+\frac{ s-c }{ \Delta }= \frac{ s }{ \Delta }\]

  17. koli123able
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Using lhs

  18. koli123able
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{ s-a+s-b+s-c }{ \Delta }\]

  19. koli123able
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what to do after this??

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

    didn't you ask the first one earlier also? :O also, for 2nd, we know that s is the semi-perimeter , hence, \(s= (a+b+c)/2 ------> 2s = a+b+c\) so, your numerator\( = s-a+s-b+s-c = 3s- (a+b+c) =.... ?\)

  21. koli123able
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :D yes i did asked the first 1

  22. 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.