Question
What is the distance between the
points (-8, -3) and (-2, -5)?
Answer:
let the distance between the points be A(-8, -3) = x_1 ,y_1 and B (-2, -5)
= x_2 ,y_2.
Now,
According to the Pythagoras theorem,
d = √ (x _2 −x _1 )^2+(y _2 −y _1 )^2
d=√(-2-(-8))^2 + (-5(-3))^2
d= √(6)^2 + (15)^2
d= √36+225
d= √261
d= 3√29
Therefore d(distance) = 3√29