337,339,340

ABC=?

BD=AC=12

S=AC*BE/2=12*4/2=24սմ²

AB=18

AM=12

S_AMB : S_AMC = ?

S_ABC=AB*h=18*h

S_AMC=AM*h = 12*h

S_ABC:S_AMC = 18h:12h = (6*3):(6*2) = 3/2

AB = 2AM

AC = 3AN

S_ABC : S_AMN = ?

h₁ = 2h₂

S_ABC = AC * h₁ = 3AN * h₁ = 3AN * 2h₂ = 6ANh₂

SAMN = AN * h2 = ANh₂

S_ABC : S_AMN = 6ANh₂ : ANh₂ = 6 : 1