Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 exptools 1/6/84; site ihuxs.UUCP Path: utzoo!watmath!clyde!burl!ulysses!mhuxl!ihnp4!ihuxs!eagle From: eagle@ihuxs.UUCP (John Blumenstein) Newsgroups: net.math Subject: Puzzle (forwarded) Message-ID: <584@ihuxs.UUCP> Date: Thu, 2-Aug-84 10:02:22 EDT Article-I.D.: ihuxs.584 Posted: Thu Aug 2 10:02:22 1984 Date-Received: Fri, 3-Aug-84 23:57:54 EDT Organization: AT&T Bell Labs, Naperville, IL Lines: 30 From: Michael Rios (at AT&T Bell Labs, I think) Re: A personal headache. When I was in high school, I was a very active member of the Math Team (much to the other members' annoyance, most of the time). We would always (to keep in practice) generate problems to give to each other and set a time limit (typically a week) to solve them. The only problem ever to defeat me was one that I made up myself: A regular pentagon of side 10 has a line drawn inside it, parallel to one side, which divides the pentagon into two sections of equal area. What is the length of this line (no decimal approximations, please)? Could someone please help me with this? ("Is this the right room for an arguement?" "I've told you once.") Michael Rios Chicago, Il. Earth ("No you haven't.") -- John T. Blumenstein ihuxr!eagle