7.
ΔMNP-dreptunghic(1)
∡M=90°(2)
∡N=30°(3)
MP=√3cm(4)
din (1),(2),(3)⇒PM=PN/2
⇒PN=2PM=2√3 cm
PN^2=PM^2+MN^2
MN^2=PN^2-PM^2
MN^2=(2√3)^2-(√3)^2
MN^2=4√9-√9
MN^2=4*3-3
MN^2=12-3=9cm
A=(PM*MN)/2=(√3*9)/2=9√3/2=4,5√3 cm^2