Difference between revisions of "1992 OIM Problems/Problem 5"

(Created page with "== Problem == The circumference <math>C</math> and the positive numbers <math>h</math> and <math>m</math> are given so that there is a trapezoid <math>ABCD</math> inscribed in...")
 
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== Solution ==
 
== Solution ==
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* Note.  I actually competed at this event in Venezuela when I was in High School representing Puerto Rico.  I'm proud to say that I got full points on this one and I solved it very quickly.  I had a straight rule and compass kit which I used to solve it as we're supposed to build the trapezoid with it.  Now, 3 decades later, I attempted this and spent a full 3 hours on it and couldn't solve it nor I remember what I did.  I will attempt again some other time.
 
{{solution}}
 
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== See also ==
 
== See also ==
 
https://www.oma.org.ar/enunciados/ibe7.htm
 
https://www.oma.org.ar/enunciados/ibe7.htm

Revision as of 18:24, 14 December 2023

Problem

The circumference $C$ and the positive numbers $h$ and $m$ are given so that there is a trapezoid $ABCD$ inscribed in $C$, of height $h$ and in which the sum of the bases $AB$ and $CD$ is $m$. Build the trapezoid $ABCD$.

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

  • Note. I actually competed at this event in Venezuela when I was in High School representing Puerto Rico. I'm proud to say that I got full points on this one and I solved it very quickly. I had a straight rule and compass kit which I used to solve it as we're supposed to build the trapezoid with it. Now, 3 decades later, I attempted this and spent a full 3 hours on it and couldn't solve it nor I remember what I did. I will attempt again some other time.

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

https://www.oma.org.ar/enunciados/ibe7.htm