Riproduci su carta la costruzione descritta nell'app, utilizzando riga e compasso.
L'app che segue è la stessa della precedente, ma ora hai a disposizione gli strumenti di GeoGebra.
Completa la costruzione tracciando il segmento [math]CD[/math]. [br]Considera il triangolo [math]ACD[/math] e illustrane le caratteristiche, in modo da dimostrare che l'angolo [math]CAD[/math] misura [math]60°[/math].
Calcola la misura dell'altezza relativa al lato [math]BC[/math] del triangolo in figura, utilizzando le informazioni disponibili.[br][img]data:image/png;base64,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[/img]
Spiega le proprietà dei triangoli [math]30°-60°-90°[/math].
Un architetto molto fantasioso decide di piastrellare un piano cottura di una cucina utilizzando [math]1000[/math] piastrelle triangolari, aventi ciascuna un lato lungo [math]12[/math] cm, un lato lungo [math]6[/math] cm e l'angolo opposto al lato di [math]6[/math] cmche misura [math]30°[/math]. [br]Che forma ha ogni piastrella? Disegnala. [br][br]Le piastrelle vengono vendute in confezioni contenenti ciascuna [math]0.5[/math] metri quadrati di piastrelle. [br]Quante confezioni dovrà acquistare per essere sicuro di portare a termine il lavoro?
Se una proposizione è falsa, correggila in modo da renderla vera oppure fornisci un controesempio.[br][list=1][*]Se un triangolo [math]30°-60°-90°[/math] ha l'ipotenusa lunga [math]5[/math][i] [/i]m, anche un cateto è lungo [math]5[/math] m.[/*][*]Se un triangolo [math]30°-60°-90°[/math] ha la base [math]AB[/math] lunga [math]5[/math] m, l'altezza relativa al lato [math]BC[/math] divide tale lato in due segmenti, ciascuno lungo [math]2,5[/math] m.[/*][*]Due triangoli aventi gli angoli corrispondenti di misure [math]30°-60°-90°[/math] sono congruenti tra loro.[/*][*]Un triangolo equilatero si può sempre ottenere applicando una simmetria ad un triangolo [br][math]30°-60°-90°[/math][/*][/list]