[{"question":"Ak obsah trojuholn\u00edka je 12 dm \u0161tvorcov\u00fdch a d\u013a\u017eka jednej zo str\u00e1n je 8 dm, ak\u00fd m\u00f4\u017ee ma\u0165 tento trojuholn\u00edk najmen\u0161\u00ed obvod?","answers":["18 dm","20 dm","12 dm","8 dm"],"correct":"18 dm","order":"1"},{"question":"Ak\u00e9 s\u00fa ve\u013ekosti uhlov v trojuholn\u00edku pri vrcholoch A, B, a C, ak pomer uhlov pri jednotliv\u00fdch vrcholoch je: A : B = 2 : 3 a C : B = 4 : 3?","answers":["Pri vrchole A je uhol = 40 stup\u0148ov, pri B - 60 a pri C 80 stup\u0148ov.","Pri vrchole A je uhol = 40 stup\u0148ov, pri B - 50 a pri C 90 stup\u0148ov.","Pri vrchole A je uhol = 50 stup\u0148ov, pri B - 60 a pri C 80 stup\u0148ov.","Pri vrchole A je uhol = 40 stup\u0148ov, pri B - 70 a pri C 60 stup\u0148ov."],"correct":"Pri vrchole A je uhol = 40 stup\u0148ov, pri B - 60 a pri C 80 stup\u0148ov.","order":"2"},{"question":"Ak\u00e1 je vzdialenos\u0165 bodov, ak ich s\u00faradnice v pravouhlej s\u00fastave s\u00fa: [6, 7] a [18, 2]?","answers":["10","11","12","13"],"correct":"13","order":"3"},{"question":"D\u013a\u017eka prepony v pravouhlom trojuholn\u00edku KLM je k = 28 cm, uhol pri vrchole K je 60 stup\u0148ov. Ako ve\u013ek\u00e9 s\u00fa ostatn\u00e9 strany?","answers":["14 cm a 24,25 mm","140 mm a 24,25 cm","15 cm a 24 mm","0,14 cm a 20 cm"],"correct":"140 mm a 24,25 cm","order":"4"},{"question":"Pribli\u017ene ako ve\u013ek\u00e9 s\u00fa vn\u00fatorn\u00e9 uhly koso\u0161tvorca, ak jeho uhloprie\u010dky s\u00fa 18 cm a 14 cm dlh\u00e9?","answers":["78 st. 40\u00b4 a 105 st.","81 st. a 121 st.","76 st. a 130 st. 16\u00b4","75 st. 45\u00b4 a 104 st. 15\u00b4"],"correct":"75 st. 45\u00b4 a 104 st. 15\u00b4","order":"5"},{"question":"Dan\u00fd je pravouhl\u00fd trojuholn\u00edk KLM. Prepona m je dlh\u00e1 8 cm, strana l = 4 cm. Ve\u013ekos\u0165 uhla pri vrchole K je","answers":["58 stup\u0148ov","71 stup\u0148ov","60 stup\u0148ov","90 stup\u0148ov"],"correct":"60 stup\u0148ov","order":"6"},{"question":"Ak v\u00fd\u0161ka rovnostrann\u00e9ho trojuholn\u00edka je 5,196 cm, ak\u00e1 je d\u013a\u017eka strany trojuholn\u00edka?","answers":["5 cm","6,5 cm","6 cm","3 cm"],"correct":"6 cm","order":"7"},{"question":"Dan\u00fd je trojuholn\u00edk ABC s prav\u00fdm uhlom pri vrchole C: a = 9 cm, sin\u03b1 = 1\/3, c =","answers":["6 cm","5 cm","4,5 cm","7 cm"],"correct":"6 cm","order":"8"},{"question":"Dlh\u0161ia odvesna v pravouhlom trojuholn\u00edku m\u00e1 0,4 m, podiel krat\u0161ej odvesny a prepony je 0,6. Obvod tak\u00e9hoto trojuholn\u00edka je","answers":["12 cm","12 dm","132 cm","129 cm"],"correct":"12 dm","order":"9"},{"question":"Lanovka st\u00fapa pod uhlom 30 stup\u0148ov z dolnej stanice (150 m n.m.) do hornej (2100 m n.m.). Stanice s\u00fa vzdu\u0161nou \u010diarou od seba vzdialen\u00e9","answers":["1,2 km","864 m","2 km","1500 m"],"correct":"1,2 km","order":"10"}]