Show that the points (a,a),(-a,-a),(root3a,root3a) are the vertices of an equilateral triangle.

Show that the points (a,a),(-a,-a),(root3a,root3a) are the vertices of

1.	Show that the points (a,a),(-a,-a),(root3a,root3a) are the vertices of an equilateral triangle.
Answer» Thank u Let , A (a,a) B (a,-a)& C (√3a,√3a)Now use distance formula :-=> √(x2-x1)² + (y2-y1)²to find dist AB => √(a-a)² + (-a-a)²=>√(0)² + (-2a)²=>√4a²=> 2a NOTE :- from similar method you have to find distance (BC) & distance (AC) Don\'t miss the step ⬆️:- If AB = BC or AC = BC or AB = AC then it is isosceles ΔHOPE FRIEND THIS WILL HELP YOU :)