Question

15.If the points A(2,-1),B (1,3), C(-3,2) and D(x,y) are vertices of a square, and
find the fourth vertex D.​

Answer 1

Given points are A(2 ,-1),B(1,3) and C(−3,2).

The points are plotted on the graph below.

From the graph, the coordinates of point D are (2,2).

Here AB=2 units [from graph]

Area of the square = side ×side

Area of the square ABCD=AB×AB

=2 ×2

=4 unit²

Hence the area of the square is 4u².