Avem:
[AM]≡[MB]≡[AB]≡[CD]≡[DP]≡[PC] (1)
↓
(dreptunghi) ↓
ΔAMB-echilateral ΔCPD-echilateral
si
[AQ]≡[QD]≡[AD]≡[BC]≡[CN]≡[BN] (2)
↓
(dreptunghi) ↓
ΔAQD-echilateral ΔBNC-echilateral
m(<MAQ)=360*-60*-60*-90*=150*.
m(<MBN)=360*-60*-60*-90*=150*.
m(<NCP)=360*-60*-60*-90*=150*.
m(<PDQ)=360*-60*-60*-90*=150*.
Deci <MAQ≡<MBN≡<NCP≡<PDQ (3)
(LUL)
Din (1), (2) si (3) ⇒ ΔMBN≡ΔPCN≡ΔPDQ≡ΔMAQ ⇒ [MN]≡[NP]≡[PQ]≡[QM] ⇒
⇒ MNPQ-romb!
Desen:
