Screenshot_2018-02-23-14-09-22-1-1.png
Circles of radii $5,5,8$ and $\dfrac mn$ are mutually externally tangents to all the circles.Where $m$ and $n$ are relatively prime positive integers.Find $m+n$.Chittagong Higher Secondary 2017#8
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Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
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Circles of radii $5,5,8$ and $\dfrac mn$ are mutually externally tangents to all the circles.Where $m$ and $n$ are relatively prime positive integers.Find $m+n$.
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- Posts:1007
- Joined:Sat Dec 09, 2017 1:32 pm
Re: Chittagong Higher Secondary 2017#8
Hint
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- Posts:1007
- Joined:Sat Dec 09, 2017 1:32 pm
Re: Chittagong Higher Secondary 2017#8
samiul_samin wrote: ↑Thu Mar 01, 2018 1:20 pmScreenshot_2018-02-23-14-09-22-1-1.png
Circles of radii $5,5,8$ and $\dfrac mn$ are mutually externally tangents to all the circles.Where $m$ and $n$ are relatively prime positive integers.Find $m+n$.