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Re: Triangle determined by altitudes?
Posted:
Nov 19, 1992 8:26 AM


> 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 306027124 (706) 5424557 FAX: 5424551
email: jolive@abel.math.uga.edu



