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Length of Triangle

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    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
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    do you have a whole set of these to answer?

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    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
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    (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
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    btw the answer is 6, 8 and 10
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    Ok im stil stuck i dnt get it at all
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    Sorry I made an error earlier and then gave up ... I will take another look
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    Click image for larger version. 

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

    this works
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    (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
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    The inscribed circle does not touch the diameter there ... it splits it into 4 and 6
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    (Original post by TenOfThem)
    Click image for larger version. 

Name:	Using For Working Out Stuff P3 copy.png 
Views:	27 
Size:	53.9 KB 
ID:	139213

    this works

    i tried it ,
    it dont work i got some wierd answer
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    (2+10-x)^2 + (2+x)^2 = 100

    gave me exactly the answers you expected
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    (Original post by TenOfThem)
    Click image for larger version. 

Name:	Using For Working Out Stuff P3 copy.png 
Views:	27 
Size:	53.9 KB 
ID:	139213

    this works
    OHHH I GOT IT THANK YOUUu!

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