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.