Show that the points P(7,3) , Q ( 6,3+`sqrt3)` and R (5,3) from an equilateral triangles.

Prove that the points (5,3,2),(3,2,5) and (2,5,3) are the vertices of an equilateral triangle.

Show that the points P (-2, 3, 5) , Q (1, 2, 3) and R (7, 0, -1) are collinear.

If three points (0,\ 0),\ (3,\ sqrt(3)) and (3,\ lambda) form an equilateral triangle, then lambda= (a) 2 (b) -3 (c) -4 (d) None of these

STATEMENT-1 : The points (2, 3, 5), (7, 5, 7) and (-3, 1, 3) are vertices of an equilateral triangle. and STATEMENT-2 : The triangle with equal sides is called an equilateral triangle.

Show that the points (a,a),(−a,−a) and (− 3a​, 3a ) are the vertices of an equilateral triangle. Also, find its area.

Show that the points P (0, 5), Q(5, 10) and R(6, 3) are the vertices of an isosecles triangle.

Show that the points (2,4),(2,6) (2+sqrt3,5) form an equilateral triangle.

If the point (0,0),(2,2sqrt(3)), and (p,q) are the vertices of an equilateral triangle, then (p ,q) is

Two points O(0,0) and A(3,sqrt(3)) with another point P form an equilateral triangle. Find the coordinates of Pdot

Two points O(0,0) and A(3,sqrt(3)) with another point P form an equilateral triangle. Find the coordinates of Pdot