Show that the points A(a,a),B(-a,-a)and C(-a√3,a√3) are the vertices of an equilateral triangle.

Show that the points A(a,a),B(-a,-a)and C(-a√3,a√3) are the vertic

1.	Show that the points A(a,a),B(-a,-a)and C(-a√3,a√3) are the vertices of an equilateral triangle.
Answer» By distance formula show that the distance between all these points are equal When you will calculate the distance between a b and BC and CA the all the distance between same and we can say that the Triangle formed by the given vertices will be an equilateral triangle Length* Find the distance of sides...... If they are equal then the triangle is equilateral