Question

Calcule a distância entre os pontos:

• A(1,9) e B(2,8)
• C(-3,5) e D(-3,12)
• P(-5,4) e Q(-2,7)
• M(0,12) e N(9,0)

Answer 1

•A(1,9) e B(2,8)

dab=√(Xb-Xa)2+(Yb-Ya)2
dab=√(2-1)2+(8-9)2
dab=√(1)2+(-1)2
dab=√(1)+(1)
dab=√2
dab= 1

•C(-3,5) e D(-3,12)

dcd=√(Xd-Xc)2+(Yd-Yc)2
dcd=√(-3-(-3)2+(12-5)2
dcd=√(0)2+(7)2
dcd=√0+49
dcd=√49
dcd=7

•P(-5,4) e Q(-2,7)

dpq=√(Xq-Xp)2+(Yq-Yp)2
dpq=√(-2-(-5)2+(7-4)2
dpq=√3)2+(3)2
dpq=√9+9
dpq=√18
dpq=3√2

•M(0,12) e N(9,0)

dmn=√(Xn-Xm)2+(Yn-Ym)2
dmn=√(9-0)2+(0-12)2
dmn=√(9)2+(-12)2
dmn=√81+144
dmn=√225
dmn=15