MNPQ-paralelogram
[QN] ; [MP] -diag
[QN]=[MP]= 12√3
[NQ]=12√3
ΔMNQ, mas < MNQ=90 ⇒ ΔMNQ-dreptunghic
mas < MQN=30
cos < MQN= QN/QM = 12√3/ QM
cos < MQN= cos <30 = √3/2
Din ambele relatii rezulta ca 12√3/ QM = √3/2
QM= (12√3 * 2 )/ √3
QM= 12*2
QM=24
ΔMQN, mas <MQN=90
MN²= MQ²- QN²
MN²= 24² - ( 12√3)²
MN² = 576 - 432
MN²= 144
MN=12
