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We can find an acute triangle with the three altitude lengths 1, 2, and h, if and only if h2 belongs to interval (P,Q). Find (P,Q).

 Jan 22, 2021
 #1
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By the triangle inequality, (P,Q) = (1/2,3/2).

 Jan 22, 2021
 #2
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Sorry no - 

 Jan 22, 2021

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