Show that (-2, 1), (2, -2) and (5,- 2) are the vertics of the right triangle

Step-by-step explanation:

A= (-2,1)

B= (2,-2)

C=(5,2)

slope = y1 - y2/ x1- x2

slope of

AB = -2-1/2-(-2)

= -3/4

BC= 2-(-2)/5-2

= 4/3

AC = -2-1/5-2

= -3/3

=-1

if ABC is a right triangle then AB should be perpendicular to BC

AB x BC = -1

LHS

=-3/4 x 4/3

=-1

= RHS

hence triangle ABC is a right triangle