Question

Fie punctul A(1 , 3); B(-3 , 1); C(5 , -3) si D, E, F respectiv mijloacele laturilor (BC); (CA) si (AB).

d). Aflati coordonatele punctului M ai. MA=MB=MC.

Answer 1

M(xm,ym )=>M(-1;2)

Xm=(Xa+Xb)/2 =(1-3)/2=-1

Ym=(Ya+Yb)/2=(3+1)/2=2

D mij (BC)=>D(-1;-1)

Xd=(-3+5)/2=-1

Yd=(1-3)/2=-1

E mij (CA)=>E(3;0)

Xe=(5+1)/2=3

Ye=(-3+3)/2=0

F mij (AB) => F(-1;2)

Xf=(1-3)/2=-1

Yf=(3+1)/2=2