Pytagorova veta a Euklidove vety
[{"question":"Zisti, ak\u00e1 dlh\u00e1 mus\u00ed by\u0165 druh\u00e1 odvesna pravouhl\u00e9ho trojuholn\u00edka, ak pozn\u00e1me d\u013a\u017eku prepony 13cm a odvesny 5cm.","answers":["12 cm","144 cm","11 cm","121 cm"],"correct":"12 cm","order":"1"},{"question":"Ak\u00e1 dlh\u00e1 je prepona pravouhl\u00e9ho trojuholn\u00edka, ktor\u00e9ho odvesny s\u00fa dlh\u00e9 56 a 33?","answers":["65","66","67","68"],"correct":"65","order":"2"},{"question":"Dan\u00fd je \u0161tvorec so stranou dlhou 5m. Vypo\u010d\u00edtajte jeho uhloprie\u010dku.","answers":["8,6 m","6,8 m","10 m","7,1 m"],"correct":"7,1 m","order":"3"},{"question":"Dan\u00e1 je kocka s hranou dlhou 5m. Vypo\u010d\u00edtajte d\u013a\u017eku telesovej uhloprie\u010dky. Zaokr\u00fah\u013eujte na 1 desatinn\u00e9 miesto.","answers":["7,1 m","10 m","8,9 m","79 m"],"correct":"8,9 m","order":"4"},{"question":"Vypo\u010d\u00edtajte d\u013a\u017eku tetivy kru\u017enice s polomerom 82cm, ak jej vzdialenos\u0165 od stredu je 18cm.","answers":["80 cm","160 cm","83,95 eur","167,9 eur"],"correct":"160 cm","order":"5"},{"question":"Vypo\u010d\u00edtajte odvesny a, b v pravouhlom trojuholn\u00edku ABC, ak pozn\u00e1te c = 10, cb = 6.","answers":["2\u221a10, 2\u221a15","2\u221a10, \u221a30","\u221a20, \u221a30","\u221a20, 3\u221a10"],"correct":"2\u221a10, 2\u221a15","order":"6"},{"question":"V predch\u00e1dzaj\u00facom trojuholn\u00edku vypo\u010d\u00edtaj vc.","answers":["\u221a6","\u221a12","2\u221a6","\u221a6"],"correct":"2\u221a6","order":"7"},{"question":"V trojuholn\u00edku ABC je b=97cm, c=153cm a vc=72cm. Vypo\u010d\u00edtaj jeho obsah.","answers":["65","135","200","7200"],"correct":"7200","order":"8"},{"question":"Ur\u010dte obsah pravouhl\u00e9ho lichobe\u017en\u00edka (a=66cm, c=18cm), ak jeho rameno b je o 36cm dlh\u0161ie ako kolm\u00e9 rameno na z\u00e1kladne.","answers":["148","588","1176","14"],"correct":"588","order":"9"},{"question":"Vypo\u010d\u00edtajte prvky b,cb, c, vc v pravouhlom trojuholn\u00edku s prav\u00fdm uhlom pri vrchole C, ak pozn\u00e1te a=5, ca=4.","answers":["3,75","2,25","3","4"],"correct":"3,75","order":"10"}]