[{"question":"V rovnoramennom trojuholn\u00edku s\u00fa jeho rovnak\u00e9 strany dlh\u00e9 10cm a polomer kru\u017enice, ktor\u00e1 je mu op\u00edsan\u00e1 je 6cm. Ak\u00e1 dlh\u00e1 je strana BC?","answers":["10*\u221a11\/3","11*\u221a11\/3","12*\u221a11\/3","13*\u221a11\/3"],"correct":"10*\u221a11\/3","order":"1"},{"question":"Ak\u00fd je obsah trojuholn\u00edka z predch\u00e1dzaj\u00faceho pr\u00edkladu?","answers":["95*\u221a11\/9","105*\u221a11\/9","115*\u221a11\/9","125*\u221a11\/9"],"correct":"125*\u221a11\/9","order":"2"},{"question":"Ak\u00fd je obvod rovnostrann\u00e9ho trojuholn\u00edka, ktor\u00e9ho obsah sa rovn\u00e1 tretine obsahu in\u00e9ho rovnostrann\u00e9ho trojuholn\u00edka s v\u00fd\u0161kou \"v\"?","answers":["v","2v","3v","4v"],"correct":"2v","order":"3"},{"question":"Trojuholn\u00edk m\u00e1 stranu c=10 cm. Pre jeho uhly plat\u00ed: alfa:beta:gama = 3:5:10. Ak\u00fd je jeho obvod?","answers":["89.4","90.4","91.4","92.4"],"correct":"91.4","order":"4"},{"question":"Ak\u00fd je obsah trojuholn\u00edka z predch\u00e1dzaj\u00faceho pr\u00edkladu?","answers":["309.8","310.8","311.8","312.8"],"correct":"310.8","order":"5"},{"question":"Ak\u00fd je polomer kru\u017enice op\u00edsanej rovnostrann\u00e9mu trojuholn\u00edku so stranou dlhou 12cm?","answers":["4\u221a3","5\u221a3","6\u221a3","7\u221a3"],"correct":"4\u221a3","order":"6"},{"question":"Ak\u00fd je s\u00fa\u010det vonkaj\u0161\u00edch uhlov v trojuholn\u00edku?","answers":["90\u00b0","180\u00b0","270\u00b0","360\u00b0"],"correct":"360\u00b0","order":"7"},{"question":"Ak\u00fd je s\u00fa\u010det jedn\u00e9ho vonkaj\u0161ieho a vn\u00fatorn\u00e9ho uhla, ktor\u00fd prisl\u00facha tomuto vonkaj\u0161iemu uhlu v trojuholn\u00edku?","answers":["90\u00b0","180\u00b0","270\u00b0","360\u00b0"],"correct":"180\u00b0","order":"8"},{"question":"Ako vypo\u010d\u00edtame obsah trojuholn\u00edka?","answers":["strana*v\u00fd\u0161ka\/2","strana*v\u00fd\u0161ka\/4","2*strana\/v\u00fd\u0161ka","4*strana\/v\u00fd\u0161ka"],"correct":"strana*v\u00fd\u0161ka\/2","order":"9"},{"question":"Od jedn\u00e9ho konca stromu ste vzdialen\u00fd 8 m, od druh\u00e9ho 5 m. Vid\u00edte ho pod uhlom 60\u00b0. Ak\u00fd dlh\u00fd je strom?","answers":["5","6","7","8"],"correct":"7","order":"10"}]