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Topic: construction of triangle of given perimeter, given point and angle
Replies: 16   Last Post: Jun 10, 2011 12:58 PM

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Michael Keyton

Posts: 138
Registered: 12/3/04
Re: construction of triangle of given perimeter, given point and angle
Posted: Nov 11, 1997 5:38 PM
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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

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