Q) Show that the points (-2, 3), (8, 3) and (6, 7) are the vertices of a right-angled triangle.
Ans: Let’s plot these points on graph, we get:
Then, AB = 10,
BC = √(4 + 16) = √20
AC = √ (64 +16) = √80
Since, (10) 2 = (√20) 2 + (√80) 2
Or AC2 = AB2 + BC2
Therefore, triangle ABC is a right-angled triangle.