How to determine whether the given points are colinear or not, instead of using the triangle formula ?
Refer the following links for the answer similar to your query :
https://www.meritnation.com/ask-answer/question/using-distance-formula-show-that-the-points-l-4-1-m-1-3/co-ordinate-geometry/8709785
https://www.meritnation.com/ask-answer/question/prove-tht-the-points-r-collinear-using-section-formula-th/coordinate-geometry/1551929
https://www.meritnation.com/ask-answer/question/how-to-prove-three-points-collinear-by-section-formula/math/848339
https://www.meritnation.com/ask-answer/question/using-distance-formula-show-that-the-points-l-4-1-m-1-3/co-ordinate-geometry/8709785
https://www.meritnation.com/ask-answer/question/prove-tht-the-points-r-collinear-using-section-formula-th/coordinate-geometry/1551929
https://www.meritnation.com/ask-answer/question/how-to-prove-three-points-collinear-by-section-formula/math/848339