Results are out! Find what you need...fast. Get quick advice or join the chat
Hey! Sign in to get help with your study questionsNew here? Join for free to post

Length of Triangle

Announcements Posted on
Applying to Uni? Let Universities come to you. Click here to get your perfect place 20-10-2014
    • Thread Starter
    • 0 followers
    Offline

    ReputationRep:
    the radius of a circle inscribed within a right triangle ABC is 2cm and the radius of a circle circumscribed about the triangle ABC is 5 cm. Find the lengths of the sides of the triangle.

    a diagram wasnt given otherwise i would have posted it but im thinking its a circle within the triaangle then another outside and the hypotenuse of the triangle is 10 since the outer circle is radius 5cm

    ?

    anyway thanks in advance
    • 66 followers
    Offline

    ReputationRep:
    do you have a whole set of these to answer?

    • 66 followers
    Offline

    ReputationRep:
    Given that it is a right angled triangle

    Consider the circumscribed circle

    You know the length of the hypotenuse


    durrr me ... you already realised this
    • Thread Starter
    • 0 followers
    Offline

    ReputationRep:
    (Original post by TenOfThem)
    do you have a whole set of these to answer?

    lol yeah its revisions i basically got problem sheet 1-21 to do for my may exams
    • Thread Starter
    • 0 followers
    Offline

    ReputationRep:
    btw the answer is 6, 8 and 10
    • Thread Starter
    • 0 followers
    Offline

    ReputationRep:
    Ok im stil stuck i dnt get it at all
    • 66 followers
    Offline

    ReputationRep:
    Sorry I made an error earlier and then gave up ... I will take another look
    • 66 followers
    Offline

    ReputationRep:
    Click image for larger version. 

Name:	Using For Working Out Stuff P3 copy.png 
Views:	21 
Size:	53.9 KB 
ID:	139213

    this works
    • 13 followers
    Offline

    ReputationRep:
    (Original post by helpmee1234567890)
    the radius of a circle inscribed within a right triangle ABC is 2cm and the radius of a circle circumscribed about the triangle ABC is 5 cm. Find the lengths of the sides of the triangle.

    a diagram wasnt given otherwise i would have posted it but im thinking its a circle within the triaangle then another outside and the hypotenuse of the triangle is 10 since the outer circle is radius 5cm

    ?

    anyway thanks in advance
    I have tried to produce a diagram BUT I can't seem to get a better fit. So something is wrong.




    Uploaded with ImageShack.us
    • 66 followers
    Offline

    ReputationRep:
    The inscribed circle does not touch the diameter there ... it splits it into 4 and 6
    • Thread Starter
    • 0 followers
    Offline

    ReputationRep:
    (Original post by TenOfThem)
    Click image for larger version. 

Name:	Using For Working Out Stuff P3 copy.png 
Views:	21 
Size:	53.9 KB 
ID:	139213

    this works

    i tried it ,
    it dont work i got some wierd answer
    • 66 followers
    Offline

    ReputationRep:
    (2+10-x)^2 + (2+x)^2 = 100

    gave me exactly the answers you expected
    • Thread Starter
    • 0 followers
    Offline

    ReputationRep:
    (Original post by TenOfThem)
    Click image for larger version. 

Name:	Using For Working Out Stuff P3 copy.png 
Views:	21 
Size:	53.9 KB 
ID:	139213

    this works
    OHHH I GOT IT THANK YOUUu!

Reply

Submit reply

Register

Thanks for posting! You just need to create an account in order to submit the post
  1. this can't be left blank
    that username has been taken, please choose another Forgotten your password?
  2. this can't be left blank
    this email is already registered. Forgotten your password?
  3. this can't be left blank

    6 characters or longer with both numbers and letters is safer

  4. this can't be left empty
    your full birthday is required
  1. By joining you agree to our Ts and Cs, privacy policy and site rules

  2. Slide to join now Processing…

Updated: April 1, 2012
New on TSR

Personal statement help

Use our clever tool to create a PS you're proud of.

Article updates
Reputation gems:
You get these gems as you gain rep from other members for making good contributions and giving helpful advice.