1.In,tr.dr.ABC,cateta,AB,se,calculeaza,cu,t.Pit.
ABpatrat+ACpatrat=BCpatrat
ABpatrat=900-576=>ABpatrat=324=>AB=18
AB,este,si,inaltime=>Aria=BxI/2=24x18/2=216
A,doua,cerinta,nu,se,vede,clar...E,prea,mica,poza,si,nu,pot,sa,citesc...
2.Diagonalele,intr-un,romb,se,injumatatesc,da?
Atunci,avem,jumatatea,lui,BD,ca,fiind,BO=18
AB,se,da,din,ipoteza=>AO,se,calculeaza,cu,t.Pit.in,tr.dr.ABO
AOpatrat+BOpatrat=ABpatrat
AOpatrat=900-324=>AOpatrat=576=>AO=24=>diag.AC=48
Aria,rombului,este,diag1xdiag2/2
A=48x36/2=>A=864
La,a,doua,cerinta,mai,am,nevoie,de,timp,de,gandire,e,prea,tarziu,acum...
3.Pentru,simplificare,notam,catetele,MN=a,si,MP=2a(stim,din,ipoteza,ca,MP/MN=2)
Calculam,ipotenuza,in,functie,de,a
apatrat+4apatrat=NPpatrat
NPpatrat=5apatrat=>NP=a,radical,din,5
Din,tr.dr.MDN,aplicam,t.Pit.si,avem
MDpatrat+NDpatrat=MNpatrat
MDpatrat=apatrat-80
Din,celalalt,tr.dr.MDP,la,fel
MDpatrat+DPpatrat=4apatrat
MDpatrat=4apatrat-(a,radical,din,5-4radical,din,5)patrat
MDpatrat=4apatrat-(5apatrat-40a+80)
MDpatrat=4apatrat-5apatrat+40a-80
Egalam,cele,doua,fiind,vorba,de,acelasi,MDpatrat
apatrat-80=-apatrat+40a-80
2apatrat=40a=>apatrat=20a=>a=20
=>MN=20,MP=40,NP=20radical,din,5
MD=40radical,din,5
Aria=MDxNP/2
Aria=40radical,din,5x20radical,din,5/2
Aria=2000
Perim=20+40+20radical,din,5
P=60+20radical,din,5
P=20(3+radical,din,5)
