Question

using the distance formula show that points A(3,-2), B(5,2) and c(8,8) Are collinear

Answer 1

Find the area of triangle by area formula it will be 0 zero. Hence proved

Answer 2

Answer:

I don't know how to use distance formula to show that the points are collinear but I know one way

Soln- Area of the triangle ABC

= 1/2{X1(Y2 - Y3) + X2 (Y3 - Y1) + X3( Y1 - Y2) }

[WHERE x1 = 3, X2= 5 , X3 = 8, Y1 = -2

Y2= 2, Y3 = 8]

= 1/ 2 { -18 + 50 - 32}

= 1/2 (-50 +50 )

= 1/2 x 0

= 0

Since the area of the triangle is 0

So the points are collinear