> 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