The vertex P of an equilateral triangle `trianglePQR` is at `(2,3)` and the equation of the opposite side QR is given by `x+y=2`. Find the possible equations of the side PQ.

One vertex of an equilateral triangle is (2,2) and its centroid is (-2/sqrt3,2/sqrt3) then length of its side is

The extremities of the base of an isosceles triangle are (2,0)a n d(0,2) . If the equation of one of the equal side is x=2, then the equation of other equal side is (a) x+y=2 (b) x-y+2=0 (c) y=2 (d) 2x+y=2

The side BC of an equilateral triangle DABC is parallel to X-axis. Find the slopes of the lines along sides BC, CA and AB.

The centroid of an equilateral triangle is (0,0). If two vertices of the triangle lie on x+y = 2sqrt(2) , then find all the possible vertices fo triangle.

One vertex of the equilateral triangle with centroid at the origin and one side as x + y - 2 = 0 is

If the extremities of the base of an isosce- les triangle are the points (2a, 0) and (0,a) and the equation of one of the sides is x=2a, then the area of the triangle is

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 equation of the base BC of an equilateral triangle ABC is x+y= 2 and A is (2, -1). The length of the side of the triangle is