Pytagorova veta a jej odvodenie
[{"question":"Ktor\u00fd trojuholn\u00edk nie je pravouhl\u00fd, ak d\u013a\u017eky str\u00e1n s\u00fa:","answers":["8, 17, 15","5, 6, 7","10, 24, 26","3, 4, 5"],"correct":"5, 6, 7","order":"1"},{"question":"Ve\u013ekos\u0165 prepony pravouhl\u00e9ho trojuholn\u00edka, ak jeho odvesny s\u00fa dlh\u00e9 15 m a 9,9 m je","answers":["18 m","17 m","16 m","19 m"],"correct":"18 m","order":"2"},{"question":"Ve\u013ekos\u0165 prepony pravouhl\u00e9ho trojuholn\u00edka, ak jeho odvesny s\u00fa dlh\u00e9 550 dm a 480 dm je","answers":["370 dm","730 dm","73,5 dm","37 dm"],"correct":"730 dm","order":"3"},{"question":"Ve\u013ekos\u0165 prepony pravouhl\u00e9ho trojuholn\u00edka, ak jeho odvesny s\u00fa dlh\u00e9 5,1 m a 14 m je","answers":["14 m","15,5 m","14,9 m","19,4 m"],"correct":"14,9 m","order":"4"},{"question":"Ak\u00e1 je d\u013a\u017eka druhej odvesny pravouhl\u00e9ho trojuholn\u00edka, ak ve\u013ekos\u0165 prvej odvesny a prepony je 9 cm a 15 cm?","answers":["13 cm","12 cm","11 cm","10 cm"],"correct":"12 cm","order":"5"},{"question":"Ak\u00e1 je d\u013a\u017eka druhej odvesny pravouhl\u00e9ho trojuholn\u00edka, ak ve\u013ekos\u0165 prvej odvesny a prepony je 5,6 cm a 11,9 cm?","answers":["13 cm","14 cm","15 cm","10,5 cm"],"correct":"10,5 cm","order":"6"},{"question":"Ak\u00e1 je d\u013a\u017eka druhej odvesny pravouhl\u00e9ho trojuholn\u00edka, ak ve\u013ekos\u0165 prvej odvesny a prepony je 4,5 cm a 5,3 cm?","answers":["2,8 cm","8,2 cm","3,8 cm","5,4 cm"],"correct":"2,8 cm","order":"7"},{"question":"Dopl\u0148 znenie Pytagorovej vety: Obsah \u0161tvorca nad preponou pravouhl\u00e9ho trojuholn\u00edka","answers":["sa rovn\u00e1 s\u00fa\u010dtu obsahov \u0161tvorcov nad oboma jeho odvesnami","sa rovn\u00e1 s\u00fa\u010dinu obsahov \u0161tvorcov nad oboma jeho odvesnami","sa rovn\u00e1 s\u00fa\u010dtu obvodu \u0161tvorcov nad oboma jeho odvesnami","je dva kr\u00e1t v\u00e4\u010d\u0161\u00ed ako s\u00fa\u010det obsahu \u0161tvorcov nad jeho odvesnami"],"correct":"sa rovn\u00e1 s\u00fa\u010dtu obsahov \u0161tvorcov nad oboma jeho odvesnami","order":"8"},{"question":"Dopl\u0148 obr\u00e1ten\u00fa Pytagorovu vetu: Ak pre ve\u013ekosti str\u00e1n a, b, c trojuholn\u00edka ABC plat\u00ed vz\u0165ah","answers":["c? = a? - b? potom je tento trojuholn\u00edk pravouhl\u00fd s odvesnami a, b a preponou c.","c? = a? + b? potom je tento trojuholn\u00edk pravouhl\u00fd s odvesnami b, c a preponou a.","c? = a? + b? potom je tento trojuholn\u00edk pravouhl\u00fd s odvesnami a, c a preponou b.","c? = a? + b? potom je tento trojuholn\u00edk pravouhl\u00fd s odvesnami a, b a preponou c."],"correct":"c? = a? + b? potom je tento trojuholn\u00edk pravouhl\u00fd s odvesnami a, b a preponou c.","order":"9"},{"question":"Majme trojuholn\u00edk KLM s preponou m. Ve\u013ekos\u0165 k vypo\u010d\u00edtame:","answers":["k = ?(m? + b?)","k = ?(m? - b?)","k = ?(m - b)","k = m? + b?"],"correct":"k = ?(m? - b?)","order":"10"}]