Given a diagram and the Law of Sines, prove or disprove...

[panic]

Hey there. I need some help with this problem.

So I got the distances of the triangle: a=5, b= sqrt(17), & c= sqrt(10).

Side a doesn't pass through the center of the circle, though.. :?

By the Law of Cosines, I was able to get the value of angle A=85.6 degrees.

Then, I tried solving for r=(5/sin85.6) and I got r=5.0

I'm not sure if I'm on the right track.. I think I'm stuck.

Any help with this would be really appreciated. :wink:

Thanks so much!

 

[TchrWill]

Re: Given a diagram and the Law of Sines, prove or disprove.

So I got the distances of the triangle: a=5, b= sqrt(17), & c= sqrt(10).

Side a doesn't pass through the center of the circle, though.. :?

By the Law of Cosines, I was able to get the value of angle A=85.6 degrees.

Then, I tried solving for r=(5/sin85.6) and I got r=5.0

I'm not sure if I'm on the right track.. I think I'm stuck.

It is well documented that r = abc/4A where a, b and c are the sides of the inscribed triangle and A = the area of the triangle.

Also, 2r = a/sinA = b/sinB = c/sicC

Proving either is another story but will give iti a try.

 

[panic]

Also, 2r = a/sinA = b/sinB = c/sicC

Proving either is another story but will give iti a try.

Thanks a lot, that 2r equation has helped. I think I can hack this now...

Thank you very much!