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

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

A hint

| Comment 1 of 2

Consider the areas involved.

Posted by Ady TZIDON on 2017-03-20 03:38:53

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info