a) VA=4√2
AO=4√2 *√2:2=4*2/2=4
⇒VO=√((4√2)²-4²)=4
b)NP l.m.inΔVAD⇒VA||NP⊂(NPM)⇒VA || (NPM)
c)DQBisoscel, QO mediana, QO, inaltime, QO⊥DB
DB||NM (NM l.m.in tr DAB)), QO⊥NM (1)
OM=4√2 ;2=2√2 (2)
OP mediana in tr .drVOD=VD;2=4√2:2=2√2 (3)
din (2) si (3)⇒ΔPOM, isoscelde baza PM, OQ mediana, OQ inaltime , OQ⊥PM (4)
QO⊥NM (1)
OQ⊥PM (4) din (1) si (4)⇒OQ⊥(MNP), cerinta