Question

Prove that the points (2, –2), (–2, 1) and (5, 2) are the vertices of a right angled triangle. Also find the area of this triangle.

The points (–4, 0), (4, 0), (0, 3) are the vertices of a

∆ ABC with vertices A (–2, 0), B (2, 0) and C (0, 2) is similar to ∆ DEF with vertices D (–4, 0) E (4, 0) and F (0, 4).

Name the type of triangle PQR formed by the points P (√2, √2), Q (–√2, –√2) and R (–√6, √6).