Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem K. 59. (November 2005)

K. 59. A circular table is put into the corner of a room. The diagram shows the table from above. The diameter of the tabletop is 170 cm. A certain point of the edge of the table is at a distance of 10 cm from one of the walls. Calculate its distance from the other wall.

(6 pont)

Deadline expired on December 12, 2005.

Sorry, the solution is available only in Hungarian. Google translation

Megoldás: A P pont két helyen is lehet az asztallap szélén. Az ábrán feltüntettük a megadott távolságokat cm-ben. Az ábra alapján a Pitagorasz-tételből x2=852-752=1600, tehát x=40 cm. A P1 pont távolsága a másik faltól 85-40=45 cm, a P2 pont távolsága a másik faltól 85+40=125 cm.

Statistics:

 180 students sent a solution. 6 points: 106 students. 5 points: 8 students. 4 points: 41 students. 3 points: 3 students. 1 point: 6 students. 0 point: 16 students.

Problems in Mathematics of KöMaL, November 2005