Question

Aflati inaltimea unui trunchi de piramida triunghiulara regulata cu muchia de 16 cm si laturile bazelor de 8 cm si 4 cm

Answer 1

ABCDEF trunchi de piramida ABC baza mare AN inaltime in triunghiul ABC ANB triunghi dreptunghic in N AN^2= BA^2-BN^2 AN=√48 AN=4√3 AO=2/3 •4√3= (8√3)/3 DEF triunghi baza mica DM inaltime in triunghiul DEF DM^2=DF^2-FE^2 DM=√12=2√3 DO'= 2/3• 2√3= (4√3)/3 AOO'D trapez dreptunghic OO'^2=DA^2-AV^2 OO'=√1051,3=32,42cm