OEF Pitagora --- Introduzione ---

Questo modulo contiene al momento 6 esercizi sul Teorema di Pitagora per i triangoli rettangoli.

Albero abbattuto

xrange -25,25 yrange -15,15 filledrectangle -25,-10,25,-15,20,200,20 lines black,-22,-10,-22,5,-21,2,-20,4,-19,2,-18,3,-18,-10 fill -20,-5,brown lines black,15,-8,-18,3,-15,3,-17,5,-14,5,16,-5 filledcircle 15,-5,50,green line -25,-10,25,-10,black filledcircle 8,-6,40,green filledcircle 10,-1,40,green fill -10,3,brown line -15,0,-15,-9,black lines black,-16,-2,-15,0,-14,-2 lines black,-16,-7,-15,-9,-14,-7 dlines black,-17,-9,-17,1.5,14,-9 line -16,-11.5,14,-11.5,black lines black,-14,-10.5,-16,-11.5,-14,-12.5 lines black,12,-10.5,14,-11.5,12,-12.5 text black,-3,-12,medium, m text black,-14,-3,medium, m text black,-5,-3,medium,?

Un albero è stato abbattuto da un fulmine. Quale era la sua altezza (in ) ?

Aquilone

xrange -25,25 yrange -25,25 line -25,-24,25,-24,green fill 0,-25,green rectangle -22,-16,-20,-24,black rectangle -20,-16,-19,-24,black lines black,-15,-9,-21,-10,-20.5,-11.5,-14.5,-10.3 lines black,-20,-9.8,-22,-9.8,-22,-16 line -19,-11,-19,-24,black circle -14,-9,10,black line -15,-8.5,-20,-9.5,black circle -20.5,-8,17,black line -13.3,-8.2,14.5,8.5,black poly black,14.5,8.5,20.5,9,24,15,17.3,14.3 line 14.5,8.5,24,15,red line 20.5,9,17.3,14.3,red dline 24,15,24,-24,black line -13,-10,23,-10,black line 23,-11,23,-23,black lines black,-12,-9.5,-13,-10,-12,-10.5 lines black,22,-9.5,23,-10,22,-10.5 lines black,22.5,-12,23,-11,23.5,-12 lines black,22.5,-22,23,-23,23.5,-22 text black,22.5,-2,medium,? text black,15,-15,giant,1.5 m text black,6,-7,giant, m text black,-2,5,giant, m
A quale altezza vola l'aquilone (in ) ?

Mediana

xrange -15,15 yrange -15,15 triangle -13,-7,-13,7,13,-7,red line -13,-7,0,0,black text black,-14,-7,medium,A text black,-13.5,9,medium,B text black,13.5,-6.5,medium,C text black,0,2,medium,I
è la mediana che congiunge il punto al punto medio dell'ipotenusa . Sapendo che misura e misura , quanto misura (in ) ?

Pozzo

xrange -20,20 yrange -25,25 lines black,-20,0,0,0,0,-20,10,-20,10,0,20,0 circle 8,-18,20,black filledcircle 8,-18,18,red lines black,-4.5,8,-6,8,-6,14,-5,15,1,15,2,14,2,8,0.5,8 line -4.5,13.5,-4.5,0,black line 0.3,13.5,0.3,0,black lines black,-2.25,0,-2.25,9,-1.75,9,-1.75,0 circle -2,17,20,black dline 0,17,7,-16,black text black,5,0,medium,?
L'altezza di è , il pozzo ha una profondità di e un diametro di . A quale distanza si trova il pallone da (in arrotondando all'unità) ?

Triangolo rettangolo e cerchio circoscritto

xrange -2,2 yrange -2,2 circle 0,0,175,red line -1.7,0,1.7,0,black text black,-1.9,0.1,medium,A text black,1.8,0.1,medium,B lines blue,-1.7,0,,,1.7,0 text black,,+0.3,medium,C line 0,-0.05,0,0.05,black text black,-0.05,0.28,medium,O
misura e misura . Quanto misura AB (in ) ?

Trasformazione nel rugby

rugby

Il calcio piazzato di trasformazione viene assegnato a una distanza di metri dal bordo del campo.
Il giocatore decide di posizionarsi a una distanza di metri dalla linea di meta.
?

Dare la risposta (in metri) approssimando all'intero più vicino.