" 39.The points "(a,a),(-a,-a)" and "(-sqrt(3)a,-sqrt(3)a)" forms a "

Show that the points (-3, -3), (3, 3) and (-3sqrt(3), 3sqrt(3)) are the vertices of an equilateral triangle.

The points (1, 1), (-1, -1) and (-sqrt3,sqrt3) are the angular points of a triangle, then the triangle is

Prove that the points (0,0) (3, sqrt(3)) and (3, -sqrt(3)) are the vertices of an equilateral triangle.

Find the area and nature of the triangle formed by the points represented by the complex numbers (3+3i),(-3-3i) and (-3sqrt(3)+3sqrt(3)i) .

Find the area and nature of the triangle formed by the points represented by the complex numbers (3+3i),(-3-3i) and (-3sqrt(3)+3sqrt(3)i) .