Mathematical and Physical Journal
for High Schools
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Problem C. 1363. (May 2016)

C. 1363. The parallel sides of a right-angled trapezium are \(\displaystyle 405\) and \(\displaystyle 80\) units long. The length of the right-angled leg is \(\displaystyle 65 \big(\sqrt{3}+\sqrt{2}\,\big)\) units. The trapezium is sliced into eight trapezoids, all similar to one another, with cuts parallel to the bases. What is the height of the largest slice?

Proposed by Z. G. Szepesi, Budapest

(5 pont)

Deadline expired on June 10, 2016.


Statistics:

19 students sent a solution.
5 points:Csapó Márton, Csorba Benjámin, Dankowsky Anna Zóra, Gera Dóra, Horváth András János, Kasó Ferenc, Kiss Vivien Mercédesz, Kocsis Júlia, Komoróczy Ádám, Kormányos Hanna Rebeka, Kósa Szilárd, Lévay Mátyás, Moldován Péter, Nagy 911 Viktória, Simon Ákos, Sudár Ákos, Szajkó Gréta, Tatai Mihály, Török Réka .

Problems in Mathematics of KöMaL, May 2016