[{"question":"Pre trojuholn\u00edk ABC, so stranymi a, b, c, a uhlami ?, ?, ? plat\u00ed s\u00ednusov\u00e1 veta:Pre trojuholn\u00edk ABC, so stranymi a, b, c, a uhlami ?, ?, ? plat\u00ed s\u00ednusov\u00e1 veta:","answers":["a\/sin? = b\/sin? = c\/sin?a\/sin? = b\/sin? = c\/sin?","a*sin? = b*sin? = c*sin?a*sin? = b*sin? = c*sin?","a?sin? = b?sin? = c?sin?a?sin? = b?sin? = c?sin?","a\/cos? = b\/cos? = c\/cos?a\/cos? = b\/cos? = c\/cos?"],"correct":"a\/sin? = b\/sin? = c\/sin?a\/sin? = b\/sin? = c\/sin?","order":"1"},{"question":"Zvy\u0161n\u00e9 strany trojuholn\u00edka ABC, ak c = 7,55 cm, ? = 61,5\u00b0 a ? = 110\u00b020\u00b4 maj\u00fa ve\u013ekos\u0165: Zvy\u0161n\u00e9 strany trojuholn\u00edka ABC, ak c = 7,55 cm, ? = 61,5\u00b0 a ? = 110\u00b020\u00b4 maj\u00fa ve\u013ekos\u0165:","answers":["a = 47,47 cm, b = 51 cm","a = 74 cm, b = 15 cm","a = 84 cm, b = 40 cm","a = 48 cm, b = 55 cm"],"correct":"a = 47,47 cm, b = 51 cm","order":"2"},{"question":"Zvy\u0161n\u00e9 strany a uhly trojuholn\u00edka ABC, ak je dan\u00e9: c = 2 dm, ?= 105 cm a ? = 30\u00b0 s\u00faZvy\u0161n\u00e9 strany a uhly trojuholn\u00edka ABC, ak je dan\u00e9: c = 2 dm, ?= 105 cm a ? = 30\u00b0 s\u00fa","answers":["a = 27,32 cm, b= 14,14 cm, 65\u00b0","a = 27,32 cm, b= 14,14 cm, 45\u00b0","a = 32 cm, b= 14,14 cm, 45\u00b0","a = 27,32 cm, b= 44,14 cm, 45\u00b0"],"correct":"a = 27,32 cm, b= 14,14 cm, 45\u00b0","order":"3"},{"question":"Zvy\u0161n\u00e9 strany a uhly trojuholn\u00edka ABC, ak je dan\u00e9: a = 12,8 cm, b = 1 dm, ? = 58,5\u00b0 s\u00fa:Zvy\u0161n\u00e9 strany a uhly trojuholn\u00edka ABC, ak je dan\u00e9: a = 12,8 cm, b = 1 dm, ? = 58,5\u00b0 s\u00fa:","answers":["? = 41\u00b046\u00b4, ? = 79\u00b044\u00b4, c = 44,77 cm","? = 41\u00b046\u00b4, ? = 89\u00b044\u00b4, c = 14,77 cm","? = 41\u00b046\u00b4, ? = 79\u00b044\u00b4, c = 14,77 cm","? = 51\u00b046\u00b4, ? = 79\u00b044\u00b4, c = 14,77 cm"],"correct":"? = 41\u00b046\u00b4, ? = 79\u00b044\u00b4, c = 14,77 cm","order":"4"},{"question":"Dopo\u010d\u00edtaj zvy\u0161n\u00e9 strany trojuholn\u00edka ABC, ak ?= 60\u00b0, ? = 100\u00b0 a a = 2,6 dm.Dopo\u010d\u00edtaj zvy\u0161n\u00e9 strany trojuholn\u00edka ABC, ak ?= 60\u00b0, ? = 100\u00b0 a a = 2,6 dm.","answers":["b = 6,58 dm, c = 9,49 dm","b = 6,58 dm, c = 7,49 dm","b = 7,58 dm, c = 7,49 dm","b = 8,58 dm, c = 7,49 dm"],"correct":"b = 6,58 dm, c = 7,49 dm","order":"5"},{"question":"Dan\u00fd je trojuholn\u00edk ABC, a = 10 cm, ? = 100\u00b0, ? = 50\u00b0. Zvy\u0161n\u00e9 strany a uhly maj\u00fa ve\u013ekos\u0165:Dan\u00fd je trojuholn\u00edk ABC, a = 10 cm, ? = 100\u00b0, ? = 50\u00b0. Zvy\u0161n\u00e9 strany a uhly maj\u00fa ve\u013ekos\u0165:","answers":["b = 19,7 cm, c = 18,32 cm, ? = 30\u00b0","b = 29,7 cm, c = 15,32 cm, ? = 30\u00b0","b = 19,7 cm, c = 15,32 cm, ? = 60\u00b0","b = 19,7 cm, c = 15,32 cm, ? = 30\u00b0b = 19,7 cm, c = 15,32 cm, ? = 30\u00b0"],"correct":"b = 19,7 cm, c = 15,32 cm, ? = 30\u00b0b = 19,7 cm, c = 15,32 cm, ? = 30\u00b0","order":"6"},{"question":"Zvy\u0161n\u00e9 strany trojuholn\u00edka KLM, ak l = 51,23 cm, uhol pri vrchole K = 61\u00b028\u00b4a pri M = 8\u00b013\u00b4 s\u00fa:","answers":["a = 50 cm, c = 7,81 cm","a = 47,99 cm, c = 8,71 cm","a = 57,99 cm, c = 7,81 cm","a = 47,99 cm, c = 7,81 cm"],"correct":"a = 47,99 cm, c = 7,81 cm","order":"7"},{"question":"Dan\u00fd je trojuholn\u00edk ABC, a = 6,1 cm, b = 7,2 cm, uhol pri vrchole A m\u00e1 ve\u013ekos\u0165 55\u00b0. Zvy\u0161n\u00e9 uhly maj\u00fa ve\u013ekos\u0165","answers":["75\u00b013\u00b4 a 49\u00b077\u00b4","75\u00b013\u00b4 a 59\u00b047\u00b4","pr\u00edklad m\u00e1 dve mo\u017en\u00e9 rie\u0161enia","71\u00b053\u00b4 a 49\u00b047\u00b4"],"correct":"pr\u00edklad m\u00e1 dve mo\u017en\u00e9 rie\u0161enia","order":"8"},{"question":"Ve\u017ea vysok\u00e1 20 m je vzdialen\u00e1 od rieky 20 m. \u0160\u00edrka rieky sa z ve\u017ee jav\u00ed pod uhlom 15\u00b0. Rieka je \u0161irok\u00e1","answers":["15,86 m","14,46 m","14,64 m","16,64 m"],"correct":"14,64 m","order":"9"},{"question":"Pou\u017eit\u00edm s\u00ednusovej vety vypo\u010d\u00edtaj ve\u013ekos\u0165 uhlov trojuholn\u00edka ABC, ak a = ?3, b = 1, a ? je dvojn\u00e1sobkom uhla ?. Pou\u017eit\u00edm s\u00ednusovej vety vypo\u010d\u00edtaj ve\u013ekos\u0165 uhlov trojuholn\u00edka ABC, ak a = ?3, b = 1, a ? je dvojn\u00e1sobkom uhla ?.","answers":["? = 15\u00b0, ? = 75\u00b0, ? = 90\u00b0","? = 30\u00b0, ? = 60\u00b0, ? = 90\u00b0","? = 60\u00b0, ? = 30\u00b0, ? = 90\u00b0","? = 30\u00b0, ? = 90\u00b0, ? = 60\u00b0"],"correct":"? = 30\u00b0, ? = 60\u00b0, ? = 90\u00b0","order":"10"}]