[{"question":"Kos\u00ednusov\u00fa vetu m\u00f4\u017eeme zap\u00edsa\u0165 v tvare","answers":["a? = b? + c? - 2bccos?a? = b? + c? - 2bccos?","a? = b? + c? - 2cos?a? = b? + c? - 2cos?","a? = b? + c? - 2b?c?cos?a? = b? + c? - 2b?c?cos?","a? = b? + c? - bccos?a? = b? + c? - bccos?"],"correct":"a? = b? + c? - 2bccos?a? = b? + c? - 2bccos?","order":"1"},{"question":"Ve\u013ekos\u0165 strany c v trojuholn\u00edku ABC pod\u013ea kos\u00ednusovej vety m\u00f4\u017eeme vyjadri\u0165:","answers":["c = a? + b? - 2abcos?c = a? + b? - 2abcos?","c = ?(a? + b? - 2abcos?)c = ?(a? + b? - 2abcos?)","c = ?(a + b - 2ab cos?c = ?(a + b - 2ab cos?","c = ?(a? + b? - 2abcos?)c = ?(a? + b? - 2abcos?)"],"correct":"c = ?(a? + b? - 2abcos?)c = ?(a? + b? - 2abcos?)","order":"2"},{"question":"Ve\u013ekos\u0165 strany b v trojuholn\u00edku ABC pod\u013ea kos\u00ednusovej vety m\u00f4\u017eeme vyjadri\u0165:","answers":["b? = c? - a? - 2accos?b? = c? - a? - 2accos?","b? = c? - a? - 2accos?b? = c? - a? - 2accos?","b? = c? + a? - 2accos?b? = c? + a? - 2accos?","b? = c? + a? - 2accos?b? = c? + a? - 2accos?"],"correct":"b? = c? + a? - 2accos?b? = c? + a? - 2accos?","order":"3"},{"question":"Obsah tupouhl\u00e9ho i ostrouhl\u00e9ho trojuholn\u00edka ABC m\u00f4\u017eeme vypo\u010d\u00edta\u0165:","answers":["S = 1\/2 bccos(180\u00b0 - ?) = 1\/2bcsin?","S = 1\/2 acsin(180\u00b0 - ?) = 1\/2bcsin?","S = 1\/2 bcsin(180\u00b0 + ?) = 1\/2bcsin?","S = 1\/2 bcsin(180\u00b0 - ?) = 1\/2bcsin?S = 1\/2 bcsin(180\u00b0 - ?) = 1\/2bcsin?"],"correct":"S = 1\/2 bcsin(180\u00b0 - ?) = 1\/2bcsin?S = 1\/2 bcsin(180\u00b0 - ?) = 1\/2bcsin?","order":"4"},{"question":"Obsah trojuholn\u00edka ABC m\u00f4\u017eeme vypo\u010d\u00edta\u0165 aj","answers":["S = 1\/2acsin?","S = 1\/2bcsin?","S = 1\/2bcsin?","S = 1\/3bcsin?"],"correct":"S = 1\/2bcsin?","order":"5"},{"question":"Pre ka\u017ed\u00fd trojuholn\u00edk ABC plat\u00ed:","answers":["S = 1\/2absin? = 1\/3bcsin? = 1\/4acsin?","S = 1\/2arcsin? = 1\/2bcsin? = 1\/2acsin?","S = 1\/2absin? = 1\/2bcsin? = 1\/2acsin?","S = 1\/2absin? = 1\/2bcsin? = 1\/2acsin?"],"correct":"S = 1\/2absin? = 1\/2bcsin? = 1\/2acsin?","order":"6"},{"question":"Pre polomer kru\u017enice op\u00edsanej trojuholn\u00edku ABC plat\u00ed:","answers":["r = a\/2sin?","r = b\/sin?","r = b.sin?","r = c.sin?"],"correct":"r = a\/2sin?","order":"7"},{"question":"Dan\u00fd je trojuholn\u00edk ABC, vc = 28 cm, ? = 51\u00b019\u00b4, ? = 67\u00b038\u00b4. \u010ealej plat\u00ed:","answers":["c = 31,26 cm","c = 32,16 cm","c = 33,23 cm","c = 43,23 cm"],"correct":"c = 31,26 cm","order":"8"},{"question":"Obsah trojuholn\u00edka ABC, ak b = 6,7 cm, ? = 38\u00b0, ? = 73\u00b0 je","answers":["23,5 cm?","32,5 cm?","52,3 cm?","48 cm?"],"correct":"32,5 cm?","order":"9"},{"question":"Zo vzorca c? = a? + b? - 2abcos? vyjadri cos?:","answers":["2ab\/(a? + b? - c?)","(a + b - c)\/2ab","(a? + b? - c?)*2ab","(a? + b? - c?)\/2ab"],"correct":"(a? + b? - c?)\/2ab","order":"10"}]