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# Length of Triangle

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1. 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

?

2. do you have a whole set of these to answer?

3. 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
4. (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
5. btw the answer is 6, 8 and 10
6. Ok im stil stuck i dnt get it at all
7. Sorry I made an error earlier and then gave up ... I will take another look

8. this works
9. (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

?

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

10. The inscribed circle does not touch the diameter there ... it splits it into 4 and 6
11. (Original post by TenOfThem)

this works

i tried it ,
it dont work i got some wierd answer

12. gave me exactly the answers you expected
13. (Original post by TenOfThem)

this works
OHHH I GOT IT THANK YOUUu!

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