Răspuns:
Explicație pas cu pas:
H=ortocentru
AH⊥BC
AH ( panta) = (4-1) / (3-2) = 3/1=3
BC=panta
AH*BC = -1
BC( panta) = - 1/3
BC: y-9 = - 1/3 * (x-4)
y-9 = -1/3*(x-4)
³⁾y+x/3=³⁾9+ 4/3
3y+x=31
-
BC :x+3y-31=0
-
BH( panta) = (9-4)/(4-3)
BH=5/1
BH= 5
AC:y-1= -1/5*(x-2)
y-1= -x/5+2/5
⁵⁾y+x/5=⁵⁾1+2/5
5y+x=5+2
x+5y=7
-
AC :x+5y-7 =0
-
AB: (x-2) /(4-2) = (y-1)/(9-1)
AB: ⁴⁾(x-2)/2=(y-1)/8
AB: 4x-8=y-1
-
AB: 4x-y-7=0
