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Topic: Triangle determined by altitudes?
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paul klingsberg, pklings1@cc.swarthmore.edu

Posts: 1
Registered: 12/6/04
Triangle determined by altitudes?
Posted: Sep 25, 1992 3:03 PM
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The following problem was posed to me by someone who had been wondering
about it since his high-school geometry course (many years ago). I had
fun
with it.

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).

Paul Klingsberg





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