Re: Points A,B, and C

On Sun, 29 Jun 2008 17:05:02 EDT, perash <mk_917@[EMAIL PROTECTED]
> wrote:

>Points A,B, and C lie in that order on line `, such that AB = 3 and BC =
2. Point H is such that
>CH is perpendicular to BC. Determine the length CH such that < AHB is as
large as possible.

It is sufficient to find the maximum of tan(AHB).

tan(AHB) = tan(AHC - BHC)  

Using the standard trig formula for the tangent of a difference plus
what you know about the tangents of AHC and BHC, you should be able to
take it from here.


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