Show that the points (2a, 6a) (2a,4a) and ` (2a + sqrt3 a, 5a) `are the vertices of an equilateral triangle of side 2a units.

Show that the points (2,2) , (-2,-2) and (-2sqrt(3),2sqrt(3)) are the vertices of an equilateral triangle .

Prove that the points (2,2) (-2,-2) and (-2sqrt3, 2sqrt3) are the vertices of an equllateral triangle.

Construct an equilateral triangle of sides 5.6 cm .

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

Show that the points (6,6) , (2,3) and (4,7) are the vertices of a right angled triangle

Construct an equilateral triangle of sides 6.5 cm.

Draw an equilateral triangle whose sides are 5.2 cm. each

Calculating the angle of the triangle, prove that the points A(3, 4, -1) , B(1, 5, 1) and C(1, 2, -2) are the vertices of an isosceles triangle.

Three point charges q, 2q and 3q are placed at the vertices of an equilateral triangle of side ‘a’. Find the electric potential and intensities at the geometric centre of the triangle.

Three particles of masses 1 g, 2g, and 3g are placed at the vertices of an equilateral triangle of side 1 m. Locate the centre of mass of the system.