Question

Prove that the points (12,8),(_2,6)&(6,0) are the vertices of a right angle tringle

Answer 1

given points are: (12,8), (-2,6),(6,0)
distance between first two points is
$\sqrt{200}$
Distance between 2nd and 3rd point is
$\sqrt{100}$
distance between 1st and third point is
$\sqrt{100}$
by pythagoras theorem
we know that
${hypotenuse}^{2} = {base}^{2} + {perpendicular}^{2}$
here
200=100+100

hence it is a right angled triangle vertices