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 Minimal area. (Posted on 2010-03-29)
Take some point V and draw two rays from it. Choose some other point W in between those two rays. Then, construct a line that touches both rays and passes through W.

Now, this line forms a closed triangle together with the two rays. The point W divides this line into two segments (x1, x2). What is the ratio of these two segments such that the area of the enclosed triangle is minimal?

Does this minimal area even exist?

 See The Solution Submitted by Vee-Liem Veefessional Rating: 4.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(2): Thoughts | Comment 8 of 11 |
(In reply to re: Thoughts by brianjn)

`That comment was not a solution, itwas an observation that asking forthe ratio of these two segments withoutspecifying x1/x2 or x2/x1 then one mightassume that they are equal and thereforethat the ratio equals one.`
`I think I will propose the problem.`
`When I first read the problem I thoughtit was going to ask that x1+x2 be minimized instead of the area. This isa famous problem - but for the life of meI cannot remember its name ( maybe somebodycan help me here ).`
`I am waiting for V-L V's solution so I cansee why he thought it was only a D2.`
` `

 Posted by Bractals on 2010-03-30 19:57:51
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