3rd side of a triangle

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 43
Joined: Wed Jan 21, 2009 2:24 pm
Thanked: 1 times

3rd side of a triangle

by r_walid » Fri Nov 13, 2009 2:18 am
if 2 sides of any triangle are known, what is the minimum and max size of the third?

Master | Next Rank: 500 Posts
Posts: 399
Joined: Wed Apr 15, 2009 3:48 am
Location: india
Thanked: 39 times

by xcusemeplz2009 » Fri Nov 13, 2009 2:34 am
the third side will be less then the sum of other two side and more then the diff of other two side
It does not matter how many times you get knocked down , but how many times you get up

User avatar
GMAT Instructor
Posts: 80
Joined: Wed Aug 12, 2009 8:49 pm
Location: San Francisco, CA
Thanked: 16 times

by grockit_jake » Fri Nov 13, 2009 2:18 pm
The angles are also in the same relative order as their opposite sides.

In any triangle ABC,

AB + BC > CA
AC + AB > CB
AC + CB > AB
Jake Becker
Academic Director
Grockit Test Prep
https://www.grockit.com

Master | Next Rank: 500 Posts
Posts: 199
Joined: Sat Oct 24, 2009 4:43 pm
Thanked: 22 times
GMAT Score:710

by palvarez » Fri Nov 13, 2009 4:38 pm
a - b < c < a +b

That's the range of c.