Question

1) Calculeaza distanta AB , daca :
a) A(3,2) ,B (6,6)
b) A(-1,0 ), B (-5,4)
c) A(-1,-4) , B (-3, -8)
d) A (0,-5) , B(12,0)

Answer 1

Distanta intre doua puncte carora li se dau coordonatele se calculeaza cu relatia
AB=√[(xa-xb)²+(ya-yb)²], unde xa=abscisa lui A, xb=abscisa lui B, ya=ordonata lui A si yb=ordonata lui b.
a) AB=√[(3-6)²+(2-6)²]=√[(-3)²+(-4)²]=√(9+16)=√25=5
b)AB=√{[-1-(-5)]²+(0-4)²}=√(4²+4²)=4√2
c)AB=√{{-1-(-3)]²+[-4-(-8)]²}=√(2²+4²)=2√5
d)AB=√[(0-12)²+(-5-0)²]=√(12²+5²)=√169=13