All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Non existing altitudes (Posted on 2013-10-03) Difficulty: 2 of 5
Prove that there is no triangle whose altitudes are of length 4, 7, and 10 units.

No Solution Yet Submitted by Danish Ahmed Khan    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution my way | Comment 2 of 4 |
Let a,b,c represent the lengths of the triangle sides in non-increasing order  and S its area.

2*S=4a=7b=10c

a should be less than b+c .
S/4 should be less than S/7+S/10.

But 1/4=.25  17/70=.2467

So    -      no such triangle

  Posted by Ady TZIDON on 2013-10-04 07:10:08
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information