Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
Posting-Version: version B 2.10.2 9/18/84; site asgb.UUCP
Path: utzoo!linus!philabs!cmcl2!seismo!hao!asgb!gupta
From: gupta@asgb.UUCP (Yogesh K Gupta)
Newsgroups: net.puzzle
Subject: Re: Geometry problem
Message-ID: <818@asgb.UUCP>
Date: Wed, 13-Nov-85 11:52:46 EST
Article-I.D.: asgb.818
Posted: Wed Nov 13 11:52:46 1985
Date-Received: Fri, 15-Nov-85 20:04:01 EST
References: <2966@brl-tgr.ARPA> <264@Navajo.ARPA>
Reply-To: gupta@asgb.UUCP (Yogesh K Gupta)
Distribution: net
Organization: Burroughs Corp. ASG, Boulder Colo.
Lines: 22

> 
> take everything over to one side and factor and we get:
>        (b - a) * (b + a - d) = 0
> 
> sooooo, either  b - a = 0, or b+a-d=0...
> 
> the second is impossible, bcuz  a>d and b>0 (this is "intuitively obvious")
			    ^^^^^^^^^^
	This is not necessarily true (a is less than d if a < c), but
	a+b-d=0 is still impossible as follows:
	a+b-d = AB + BC - AE
	      = AB + BE - AE + EC
	Now, as ABE form a triangle, AB + BE > AE.
	 .
	. .  AB + BE - AE + AC > 0

-- 
Yogesh Gupta                           Advanced Systems Group,
{sdcrdcf, sdcsvax}!bmcg!asgb!gupta     Burroughs Corp., Boulder, CO.
--------------------------------------------------------------------
	All opinions contained in this message are my own and do not
	reflect those of my employer or the plant on my desk.