Re: Points A,B, and C

In article 
<e3992405-2c65-4725-9fe4-76736eb56ca5@[EMAIL PROTECTED]
>,
 hagman <google@[EMAIL PROTECTED]
> wrote:

> On 29 Jun., 22:57, perash <mk_...@[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 `. Determine the length CH such that \AHB is as

> > large as possible.
> 
> This is the famous mini-skirt problem, isn't it?
> 
> The angle is maximal when the line CH is tangent to the cir***scribed
> circle of triangle ABH.

More simply, CH is the mean pro****tional of AC and BC.