1992 OIM Problems/Problem 5

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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

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See also

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