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Topic: Triangle Determined by Altitudes?
Replies: 3   Last Post: Feb 24, 1993 5:41 PM

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John Olive

Posts: 10
Registered: 12/6/04
Re: Triangle determined by altitudes?
Posted: Nov 19, 1992 8:26 AM
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> Suppose I have a triangle in mind, but all I tell you about it is the
> lengths of the three altitudes (in nondecreasing order, say). Have Igiven
> you enough information to reconstruct the triangle? If so, give a method
> for recovering the triangle from this information; if not, give a
> counterexample (two noncongruent triangles with the same altitude
> lengths).


This sounds like a neet problem to explore with the Geometer's Sketchpad!
I will take a shot at it and let you know how I do.

John Olive
Associate Professor
Department of Mathematics Education
University of Georgia
105 Aderhold Hall
Athens, GA 30602-7124 (706) 542-4557 FAX: 542-4551

e-mail: jolive@abel.math.uga.edu






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