Re: Points A,B, and C

In article <Pine.BSI.4.58.0806292318550.8844@[EMAIL PROTECTED]
>,
 William Elliot <marsh@[EMAIL PROTECTED]
> wrote:

> On Sun, 29 Jun 2008, [Mr.] Lynn Kurtz wrote:
> 
> > On Sun, 29 Jun 2008 16:57:03 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 `. Determine the
> > >length CH such that \AHB is as large as possible.
> >
> You mean that the area of AHB is as large as possible?
> 
> > OK,  I got sqrt(10). What did you get?
> >
> That's there is no maximum.

As I read the problem, it was to find the length of CH needed to 
maximize the angle AHB at point H, not the area of triangle ABH.

And I also found the maximizing length of CH to be sqrt(10) yielding an 
angle at H of about .443 radians, or 25.4 degrees.