Date: Nov 11, 1997 5:38 PM
Author: Michael Keyton
Subject: Re: construction of triangle of given perimeter, given point and angle

Eileen, I do not recall having seen any of the NCTM addendum books on
geometry. I do not recall where I learned how, my guess is either from
Johnson or Altschiller Court, or maybe from Aref/Wernick. It is a fairly
common construction, I think of it through homothetic quadrilaterals.

Michael Keyton


On Tue, 11 Nov 1997, Eileen M. Klimick Schoaff wrote:

> Isn't the triangle ABC problem with X on AB and Y on AC such that BX = XY = YC
> from one of the NCTM Addendum books on geometry? I know I assigned that
> problem to my graduate class on teaching geometry last year. The solution is
> not at all difficult, just not immediately obvious.
>
> Eileen Schoaff
> Buffalo State College
>
>