Question

Triangle ABC with endpoints A(-1,4), B(3,1) and C(0,-3) is a right
Triangle. Using the principles of Slope, please verify this.

Answer 1

Find the gradient of the 3 lines, mAB=(y2-y1)/(x2-x1)
=(1-4)/(3--1)
=-3/4

mAC=(-3-4)/(0--1)
=-7

mBC=(1--3)/(3-0)
=4/3

therefore: if mAB*mBC=-1, then AB is perpendicular to BC ,which mean that the angle between AB and BC is 90 degrees..... -3/4*4/3=-1, therefore triangle ABC is right angled