perplexus.info :: Geometry : Three heights in a triangle

Three heights in a triangle (Posted on 2017-03-11)

Given a triangle ABC.
Let Ha, Hb, and Hc be the altitudes to its sides a,b, c,respectively.
Prove:
Ha + Hb > Hc

Is it possible to construct a triangle with altitudes 7,11, and 20?
Justify your answer.

No Solution Yet Submitted by Ady TZIDON

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