Question

Provethat(-2,3)(8,3)and(6,7) are the verticesof a right angletriangle

Answer 1

first of all find length of triangle
let A (-2,3) B (8,3) and C (6,7)
now
AB=root {(10)^2+(0)^2}=10
BC=root {(2)^2+(4)^2}=2root5
CA=root {(8)^2+(4)^2}=80
here we see
AB^2=BC^2+CA^2
hence these three points form right angle triangle