Question

-Paralelipipedul dreptunghic ABCDA'B'C'D' are AC=3√13 cm. BC'=6√5 cm. si AB'=15 cm. Aflati dimensiunile paralelipipedului. Vreau rezolvarea completa.

Answer 1

AB=a
BC=b
BB'=c
AC=3√13 cm
AC²=a²+b²=(3√13)²=9*13=117
BC'=6√5 cm
(BC')²=b²+c²=(6√5 )²=36*5=180
AB'=15 cm
(AB')²=a²+c²=15²=225
le adunam
a²+b²+b²+c²+a²+c²=117+180+225
2(a²+b²+c²)=522
a²+b²+c²=261
a²=261-180=81      AB=a=9 cm
b²=261-225=36      BC=b=6 cm
c²=261-117=144    BB'=c=12 cm