Question

prove that (2,5) ( 4,6) and ( 8,8) are collinear​

Answer 1

Answer:

Formula:

Area of triangle =

21 [x1(y2-y3)+x2(y3-y1)+x3(y1-y2)]

If the area of a triangle is zero, then the points are collinear.

Given,

A(2,5),B(4,6),C(8,8)

Area of △ABC= 21

[2(6−8)+4(8−5)+8(5−6)]

= 21

[−4+12−8]

=0sq.units

Hence the given points are collinear