Distance Between Two Points (Grade 10 NSC Matric Mathematics): Flashcards

Specific location written as ordered pair $(x, y)$

Always positive, length of straight line connecting them

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

Pythagoras theorem

Doesn't matter: $(x_1 - x_2)^2 = (x_2 - x_1)^2$

$AC = x_2 - x_1$

$BC = y_2 - y_1$

Two possible values (quadratic equation)

The hypotenuse

Always draw a sketch first