Question

Show that A(3, 2), B (6, −2) and C (2, −5) can be the vertices of a square.

(i) Find the co-ordinates of its fourth vertex D, if ABCD is a square

(ii) Without using the co-ordinates of vertex D, find the equation of side AD of the square and also the equation of diagonal BD.

Answer 1

Using distance formula, we have:

(ii) The equation of line AD is found in part (i)

It is 3x – 4y =1 Or 4y = 3x – 1