The base of an equilateral triangle with side `2a` lies along the y-axis such that the mid point of the base is at the origin. Find the vertices of the triangle.

The base of an equilateral triangle with side 2a lies along the y–axis such that the mid–point of the base is at the origin. Find vertices of the triangle.

The base of an equilateral triangle with side 20cm lies along x-axis such that the mid-point of the base is at the origin. Find the vertices of the triangle

The base PQ of two equilateral triangles PQR and PQR’ with side 2a lies along y-axis such that the mid-point of PQ is at the origin. Find the coordinates of the vertices R and R’ of the triangles.

The base A B of two equilateral triangles A B C and A B C ' with side 2a lies along the X -axis such that the mid-point of A B is at the origin as shown in . Find the coordinates of the vertices C and C ' of the triangles.

Let the point P lies in the interior of an equilateral triangle with side lengths 2 units, each. Find the sum of the shortest distances from P to the sides of the triangle.

If (-4,3) and (4,3) are two vertices of an equilateral triangle, then find the coordinates of the third vertex, given that the origin lies in the interior of the triangle.

Equation of the base of an equilateral triangle is 3x + 4y = 9 and its vertex is at point (1,2) .Find the equations of the other sides and the length of each side of the triangle .

The side AB of an equilateral triangle ABC is parallel to the x-axis. Find the slopes of all its sides.

The base QR of an equilateral triangle PQR lies on X-axis. The co-ordinates of the point Q are (-4,0) and origin is the mid-point of the base. Find the co-ordinates of the points P and R.